Atkin-Lehner |
2- 3+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12702d |
Isogeny class |
Conductor |
12702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22614602694 = -1 · 2 · 3 · 294 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1247,-18949] |
[a1,a2,a3,a4,a6] |
Generators |
[578990:13630237:1000] |
Generators of the group modulo torsion |
j |
-214459277895793/22614602694 |
j-invariant |
L |
6.0975784582401 |
L(r)(E,1)/r! |
Ω |
0.39931931134658 |
Real period |
R |
7.6349656590335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101616p2 38106b2 |
Quadratic twists by: -4 -3 |