Atkin-Lehner |
2- 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cs |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
523776 |
Modular degree for the optimal curve |
Δ |
713877356544000 = 222 · 3 · 53 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-413023,-102193063] |
[a1,a2,a3,a4,a6] |
j |
62335647567420704261/5711018852352 |
j-invariant |
L |
4.1431538288681 |
L(r)(E,1)/r! |
Ω |
0.18832517403842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150n1 |
Quadratic twists by: 5 |