Atkin-Lehner |
2+ 3- 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238u |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
380928 |
Modular degree for the optimal curve |
Δ |
-2334136619003904 = -1 · 212 · 37 · 114 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13221,2400277] |
[a1,a2,a3,a4,a6] |
Generators |
[26:1427:1] |
Generators of the group modulo torsion |
j |
-350596500495697/3201833496576 |
j-invariant |
L |
5.912082211233 |
L(r)(E,1)/r! |
Ω |
0.39325144602532 |
Real period |
R |
1.8792309197293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746bf1 |
Quadratic twists by: -3 |