Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650bz |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20736000 |
Modular degree for the optimal curve |
Δ |
-2.6881612263281E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11564793,-77420271299] |
[a1,a2,a3,a4,a6] |
Generators |
[2051597818:56885333251:571787] |
Generators of the group modulo torsion |
j |
1877153297581448934139/29499711674382286848 |
j-invariant |
L |
2.421641309682 |
L(r)(E,1)/r! |
Ω |
0.039501388046446 |
Real period |
R |
7.6631526115838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550cc1 97650eu1 |
Quadratic twists by: -3 5 |