Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12152f |
Isogeny class |
Conductor |
12152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-45749460736 = -1 · 28 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -6 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49,10290] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:50:1] [-7:98:1] |
Generators of the group modulo torsion |
j |
432/1519 |
j-invariant |
L |
5.5862982779655 |
L(r)(E,1)/r! |
Ω |
0.89237890867474 |
Real period |
R |
1.5650017676521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24304b1 97216r1 109368w1 1736c1 |
Quadratic twists by: -4 8 -3 -7 |