Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150s |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
20296320000000000 = 216 · 3 · 510 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76876,4501898] |
[a1,a2,a3,a4,a6] |
j |
3215643533722801/1298964480000 |
j-invariant |
L |
2.7895730227827 |
L(r)(E,1)/r! |
Ω |
0.34869662787744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230z1 |
Quadratic twists by: 5 |