Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488n |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
34425409536 = 212 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3699,86130] |
[a1,a2,a3,a4,a6] |
Generators |
[97:800:1] |
Generators of the group modulo torsion |
j |
69426531/427 |
j-invariant |
L |
7.3157356298343 |
L(r)(E,1)/r! |
Ω |
1.1690634589147 |
Real period |
R |
3.128887304633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3843a1 61488o1 |
Quadratic twists by: -4 -3 |