Atkin-Lehner |
2- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800x |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
5745250000 = 24 · 56 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -4 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239650,-45155875] |
[a1,a2,a3,a4,a6] |
Generators |
[-792257286:344267:2803221] |
Generators of the group modulo torsion |
j |
6088579813251072/22981 |
j-invariant |
L |
12.696804989189 |
L(r)(E,1)/r! |
Ω |
0.21577702272711 |
Real period |
R |
9.8070412575502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3752d1 |
Quadratic twists by: 5 |