Atkin-Lehner |
7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
73997i |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
342240 |
Modular degree for the optimal curve |
Δ |
-22525705189854251 = -1 · 74 · 11 · 318 |
Discriminant |
Eigenvalues |
0 -1 -2 7- 11- 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,19861,7133565] |
[a1,a2,a3,a4,a6] |
Generators |
[641:16817:1] |
Generators of the group modulo torsion |
j |
1015808/26411 |
j-invariant |
L |
2.1528915085653 |
L(r)(E,1)/r! |
Ω |
0.2861049562287 |
Real period |
R |
0.62706926941918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73997f1 |
Quadratic twists by: -31 |