Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350f |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
31046400 |
Modular degree for the optimal curve |
Δ |
1.2475289397318E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1090759635,13865138229645] |
[a1,a2,a3,a4,a6] |
Generators |
[510267:797537:27] |
Generators of the group modulo torsion |
j |
5740779654215124531731038137505/49901157589270719559968 |
j-invariant |
L |
4.2165994564106 |
L(r)(E,1)/r! |
Ω |
0.077604084161953 |
Real period |
R |
1.2936848134614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350dg1 |
Quadratic twists by: 5 |