Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312w |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2537472 |
Modular degree for the optimal curve |
Δ |
-155369666864498688 = -1 · 211 · 33 · 713 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16455915,25693974278] |
[a1,a2,a3,a4,a6] |
j |
-75754399836615750/23882747 |
j-invariant |
L |
1.0439963331998 |
L(r)(E,1)/r! |
Ω |
0.26099907705617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102312b1 14616f1 |
Quadratic twists by: -3 -7 |