Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650da |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
7864320 |
Modular degree for the optimal curve |
Δ |
-2.6381444404298E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4475245,-6914130253] |
[a1,a2,a3,a4,a6] |
Generators |
[31953:151510:27] |
Generators of the group modulo torsion |
j |
870215264126076959/2316066449760000 |
j-invariant |
L |
11.096982329741 |
L(r)(E,1)/r! |
Ω |
0.061203098802308 |
Real period |
R |
5.6660643692284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550t1 19530m1 |
Quadratic twists by: -3 5 |