Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cp |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-3633262925040000000 = -1 · 210 · 39 · 57 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54380,91851247] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-9475:1] |
Generators of the group modulo torsion |
j |
-57825915363/11813688320 |
j-invariant |
L |
11.146783459008 |
L(r)(E,1)/r! |
Ω |
0.20350956795639 |
Real period |
R |
0.34232983412765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650i1 19530b1 |
Quadratic twists by: -3 5 |