Atkin-Lehner |
2+ 3+ 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
39432a |
Isogeny class |
Conductor |
39432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
-535013376 = -1 · 211 · 3 · 31 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 1 2 -1 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1480,22444] |
[a1,a2,a3,a4,a6] |
Generators |
[45:212:1] |
Generators of the group modulo torsion |
j |
-175175076242/261237 |
j-invariant |
L |
5.3895953791721 |
L(r)(E,1)/r! |
Ω |
1.6434089796793 |
Real period |
R |
1.6397608403673 |
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 |
78864f1 118296h1 |
Quadratic twists by: -4 -3 |