Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
94752w |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
-16041733695062208 = -1 · 26 · 39 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57915,-2890512] |
[a1,a2,a3,a4,a6] |
Generators |
[237:4914:1] |
Generators of the group modulo torsion |
j |
17053975224000/12734445409 |
j-invariant |
L |
8.0348740288076 |
L(r)(E,1)/r! |
Ω |
0.21932761243894 |
Real period |
R |
2.2896324875761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752v1 94752b1 |
Quadratic twists by: -4 -3 |