Atkin-Lehner |
2+ 3+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63024d |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-4090005504 = -1 · 211 · 32 · 133 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 0 13- 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,344,1744] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-78:1] |
Generators of the group modulo torsion |
j |
2191825582/1997073 |
j-invariant |
L |
3.6182393384779 |
L(r)(E,1)/r! |
Ω |
0.90710100658046 |
Real period |
R |
0.33239952627056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31512f1 |
Quadratic twists by: -4 |