Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bc |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-105624221163208704 = -1 · 214 · 311 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20096,-15681612] |
[a1,a2,a3,a4,a6] |
Generators |
[2428:119394:1] |
Generators of the group modulo torsion |
j |
-219136257917569/25787163369924 |
j-invariant |
L |
7.2222790034465 |
L(r)(E,1)/r! |
Ω |
0.14851843048108 |
Real period |
R |
0.3684003035675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4422h1 106128be1 |
Quadratic twists by: -4 -3 |