Atkin-Lehner |
2+ 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832j |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3878360994816 = -1 · 210 · 310 · 73 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3520,49008] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-486:1] |
Generators of the group modulo torsion |
j |
4708996427516/3787461909 |
j-invariant |
L |
6.3175933428202 |
L(r)(E,1)/r! |
Ω |
0.50563020244286 |
Real period |
R |
1.041207802358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31416n1 |
Quadratic twists by: -4 |