Atkin-Lehner |
2+ 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498ba |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
4249243152 = 24 · 34 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-697,6284] |
[a1,a2,a3,a4,a6] |
Generators |
[7:38:1] |
Generators of the group modulo torsion |
j |
37370253593737/4249243152 |
j-invariant |
L |
4.0624788969284 |
L(r)(E,1)/r! |
Ω |
1.3395782583939 |
Real period |
R |
0.25272126205102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494cf1 |
Quadratic twists by: -3 |