Atkin-Lehner |
2- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418ba |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-2813533241777924512 = -1 · 25 · 74 · 113 · 317 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- -2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4940377,4225283719] |
[a1,a2,a3,a4,a6] |
Generators |
[1219:3416:1] |
Generators of the group modulo torsion |
j |
-5554076165405330903473/1171817260215712 |
j-invariant |
L |
13.680691012622 |
L(r)(E,1)/r! |
Ω |
0.2477390567837 |
Real period |
R |
3.6814787274518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bt1 |
Quadratic twists by: -7 |