Atkin-Lehner |
2+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39368c |
Isogeny class |
Conductor |
39368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-32768033536 = -1 · 28 · 7 · 192 · 373 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ -3 7 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-8731] |
[a1,a2,a3,a4,a6] |
Generators |
[41:222:1] |
Generators of the group modulo torsion |
j |
-4942652416/128000131 |
j-invariant |
L |
8.9615556639016 |
L(r)(E,1)/r! |
Ω |
0.50617343161997 |
Real period |
R |
0.73768817037197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78736b1 |
Quadratic twists by: -4 |