Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ch |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
4860913680000000 = 210 · 311 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-633675,194125750] |
[a1,a2,a3,a4,a6] |
Generators |
[410:1800:1] |
Generators of the group modulo torsion |
j |
7033666972/1215 |
j-invariant |
L |
7.4041270019938 |
L(r)(E,1)/r! |
Ω |
0.41935681329402 |
Real period |
R |
2.206989004023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ec1 17640cq1 88200ci1 |
Quadratic twists by: -3 5 -7 |