Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
7110o |
Isogeny class |
Conductor |
7110 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-6219828000 = -1 · 25 · 39 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,457,-593] |
[a1,a2,a3,a4,a6] |
Generators |
[7:50:1] |
Generators of the group modulo torsion |
j |
537367797/316000 |
j-invariant |
L |
5.7298178042994 |
L(r)(E,1)/r! |
Ω |
0.78761112656514 |
Real period |
R |
0.72749325282996 |
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 |
56880p1 7110c1 35550b1 |
Quadratic twists by: -4 -3 5 |