Atkin-Lehner |
2- 3+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
125136l |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-192208896 = -1 · 213 · 33 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 11- 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,666] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] [-3:24:1] |
Generators of the group modulo torsion |
j |
9261/1738 |
j-invariant |
L |
8.3666900185369 |
L(r)(E,1)/r! |
Ω |
1.3830015383993 |
Real period |
R |
0.75620758397354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15642e1 125136i1 |
Quadratic twists by: -4 -3 |