Atkin-Lehner |
2- 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282bh |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-24419008196352 = -1 · 28 · 314 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149,-237715] |
[a1,a2,a3,a4,a6] |
Generators |
[990:9707:8] |
Generators of the group modulo torsion |
j |
-498677257/33496581888 |
j-invariant |
L |
10.969043889736 |
L(r)(E,1)/r! |
Ω |
0.30733817916282 |
Real period |
R |
2.2306543397071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094k1 |
Quadratic twists by: -3 |