Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61504i |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
13973766757433344 = 214 · 318 |
Discriminant |
Eigenvalues |
2+ -3 -3 3 -5 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119164,14776336] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3844:1] |
Generators of the group modulo torsion |
j |
13392 |
j-invariant |
L |
2.623809386392 |
L(r)(E,1)/r! |
Ω |
0.38804738635739 |
Real period |
R |
0.56346412802539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61504bk1 7688g1 61504bd1 |
Quadratic twists by: -4 8 -31 |