Atkin-Lehner |
2+ 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050h |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496000 |
Modular degree for the optimal curve |
Δ |
2.8961937040781E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3272250,-2127487500] |
[a1,a2,a3,a4,a6] |
j |
247995227167710291361/18535639706100000 |
j-invariant |
L |
0.22556142057645 |
L(r)(E,1)/r! |
Ω |
0.11278071035482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210y1 |
Quadratic twists by: 5 |