Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304z |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1050846179328 = -1 · 212 · 33 · 115 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813,49851] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1452:1] |
Generators of the group modulo torsion |
j |
-14526784000/256554243 |
j-invariant |
L |
8.1898101409652 |
L(r)(E,1)/r! |
Ω |
0.73727594430483 |
Real period |
R |
0.37027340098551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62304q1 124608bx1 |
Quadratic twists by: -4 8 |