Atkin-Lehner |
2+ 3+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
31512a |
Isogeny class |
Conductor |
31512 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-30326879561472 = -1 · 28 · 35 · 136 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5252,219028] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:344:1] |
Generators of the group modulo torsion |
j |
62571303902000/118464373287 |
j-invariant |
L |
5.2813805689554 |
L(r)(E,1)/r! |
Ω |
0.45511380424701 |
Real period |
R |
3.8681757688377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63024e1 94536g1 |
Quadratic twists by: -4 -3 |