Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950h |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-1580411250000000 = -1 · 27 · 35 · 510 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25325,2452125] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:1626:1] |
Generators of the group modulo torsion |
j |
-183949590625/161834112 |
j-invariant |
L |
3.8620759635172 |
L(r)(E,1)/r! |
Ω |
0.4347083830245 |
Real period |
R |
4.4421457160131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950cb1 |
Quadratic twists by: 5 |