Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cd |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
180708000000000000 = 214 · 3 · 512 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-229088,36897792] |
[a1,a2,a3,a4,a6] |
j |
85096329293877049/11565312000000 |
j-invariant |
L |
4.3136353856667 |
L(r)(E,1)/r! |
Ω |
0.30811681350717 |
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 |
12210b1 |
Quadratic twists by: 5 |