Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328bb |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-12090538856448 = -1 · 212 · 37 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3- -4 -5 5 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3960,-135756] |
[a1,a2,a3,a4,a6] |
Generators |
[180:-2538:1] |
Generators of the group modulo torsion |
j |
1676253304439/2951791713 |
j-invariant |
L |
3.8317602238349 |
L(r)(E,1)/r! |
Ω |
0.37439770815557 |
Real period |
R |
0.24367773705461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1833c1 117312ca1 87984bt1 |
Quadratic twists by: -4 8 -3 |