Atkin-Lehner |
2- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30118d |
Isogeny class |
Conductor |
30118 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
-1010834627712184 = -1 · 23 · 113 · 377 |
Discriminant |
Eigenvalues |
2- -2 3 2 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7501,1509721] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-1389:1] |
Generators of the group modulo torsion |
j |
18191447/393976 |
j-invariant |
L |
7.8657864373322 |
L(r)(E,1)/r! |
Ω |
0.3692198173393 |
Real period |
R |
1.1835446389535 |
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 |
814a1 |
Quadratic twists by: 37 |