Atkin-Lehner |
2+ 3- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232g |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
9446160384 = 211 · 38 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 5 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,8642] |
[a1,a2,a3,a4,a6] |
Generators |
[7:54:1] |
Generators of the group modulo torsion |
j |
48275138/6327 |
j-invariant |
L |
7.1092949555238 |
L(r)(E,1)/r! |
Ω |
1.2475654996334 |
Real period |
R |
1.424633607565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50616b1 33744d1 |
Quadratic twists by: -4 -3 |