Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28980d |
Isogeny class |
Conductor |
28980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-182532268800 = -1 · 28 · 311 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10128,392852] |
[a1,a2,a3,a4,a6] |
Generators |
[61:45:1] |
Generators of the group modulo torsion |
j |
-615640662016/978075 |
j-invariant |
L |
5.7973625858092 |
L(r)(E,1)/r! |
Ω |
1.0113494636802 |
Real period |
R |
1.4330760024119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115920cu1 9660c1 |
Quadratic twists by: -4 -3 |