Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29328h |
Isogeny class |
Conductor |
29328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-9730326528 = -1 · 216 · 35 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 1 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768,-9216] |
[a1,a2,a3,a4,a6] |
Generators |
[674:17470:1] |
Generators of the group modulo torsion |
j |
-12246522625/2375568 |
j-invariant |
L |
5.2440789193567 |
L(r)(E,1)/r! |
Ω |
0.44869771834709 |
Real period |
R |
5.8436656850795 |
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 |
3666m1 117312cy1 87984ba1 |
Quadratic twists by: -4 8 -3 |