Atkin-Lehner |
11- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
102971b |
Isogeny class |
Conductor |
102971 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13478400 |
Modular degree for the optimal curve |
Δ |
-2.5029580162706E+24 |
Discriminant |
Eigenvalues |
0 1 3 -2 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38915939,-120533433641] |
[a1,a2,a3,a4,a6] |
Generators |
[151311588330890932193610385926205395812909897000699202231393249174784930411040:18197577202378976347755545438525196284951384553992133876718660564693381472692893:8826419212110282489063338421613050606201386891886880474365412562292736000] |
Generators of the group modulo torsion |
j |
-3679172532313770852352/1412854548203883059 |
j-invariant |
L |
7.0898189450277 |
L(r)(E,1)/r! |
Ω |
0.029657702702885 |
Real period |
R |
119.52744647916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9361a1 |
Quadratic twists by: -11 |