Atkin-Lehner |
2+ 3+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194f |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
49895456090688 = 26 · 32 · 132 · 175 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-265564,52563088] |
[a1,a2,a3,a4,a6] |
Generators |
[49:6274:1] |
Generators of the group modulo torsion |
j |
2071256440511429481673/49895456090688 |
j-invariant |
L |
3.5526282552384 |
L(r)(E,1)/r! |
Ω |
0.58714297540999 |
Real period |
R |
0.30253519194006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582z1 |
Quadratic twists by: -3 |