Atkin-Lehner |
2+ 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350g |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1128204126562500 = 22 · 32 · 58 · 134 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28125,815625] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:1506:1] [225:-2550:1] |
Generators of the group modulo torsion |
j |
157472748162001/72205064100 |
j-invariant |
L |
7.4670288862877 |
L(r)(E,1)/r! |
Ω |
0.43792088712239 |
Real period |
R |
2.1313863720156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999489 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20670bc2 |
Quadratic twists by: 5 |