Atkin-Lehner |
3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461c |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
199927192186241793 = 33 · 79 · 133 · 174 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2293650,-1336276537] |
[a1,a2,a3,a4,a6] |
j |
420100556152674123/62939003491 |
j-invariant |
L |
5.888611362128 |
L(r)(E,1)/r! |
Ω |
0.12267940564777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461b1 13923a1 |
Quadratic twists by: -3 -7 |