Atkin-Lehner |
2- 5+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
60950f |
Isogeny class |
Conductor |
60950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
6774534963200 = 222 · 52 · 23 · 532 |
Discriminant |
Eigenvalues |
2- -2 5+ -5 1 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12118,496932] |
[a1,a2,a3,a4,a6] |
Generators |
[28:410:1] |
Generators of the group modulo torsion |
j |
7871885851490185/270981398528 |
j-invariant |
L |
5.2830873833081 |
L(r)(E,1)/r! |
Ω |
0.74392102996767 |
Real period |
R |
0.1614017657379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60950c1 |
Quadratic twists by: 5 |