Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310d |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
138097737954201600 = 212 · 318 · 52 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156285,15718725] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:5235:1] |
Generators of the group modulo torsion |
j |
579094763979479761/189434482790400 |
j-invariant |
L |
2.5542022277382 |
L(r)(E,1)/r! |
Ω |
0.30214312608946 |
Real period |
R |
4.2268084347912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42480bf2 1770h2 26550bt2 |
Quadratic twists by: -4 -3 5 |