Atkin-Lehner |
2+ 3- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254i |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
-1572436133856 = -1 · 25 · 313 · 72 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3519,-99603] |
[a1,a2,a3,a4,a6] |
Generators |
[717:18762:1] |
Generators of the group modulo torsion |
j |
-6611856250609/2156976864 |
j-invariant |
L |
5.5507355655208 |
L(r)(E,1)/r! |
Ω |
0.3048683491248 |
Real period |
R |
4.551747976463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26418o1 |
Quadratic twists by: -3 |