Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504a |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
3493441689358336 = 212 · 318 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 3 3 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39721,1081303] |
[a1,a2,a3,a4,a6] |
Generators |
[243:2416:1] |
Generators of the group modulo torsion |
j |
1984 |
j-invariant |
L |
7.3948302998881 |
L(r)(E,1)/r! |
Ω |
0.39351359568605 |
Real period |
R |
4.6979509605564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504e1 30752c1 61504q1 |
Quadratic twists by: -4 8 -31 |