Atkin-Lehner |
2+ 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680c |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-52004832000 = -1 · 28 · 3 · 53 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,479,10045] |
[a1,a2,a3,a4,a6] |
Generators |
[20:165:1] |
Generators of the group modulo torsion |
j |
47378717696/203143875 |
j-invariant |
L |
6.3608707244455 |
L(r)(E,1)/r! |
Ω |
0.80335972179054 |
Real period |
R |
1.9794590617745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48840h1 |
Quadratic twists by: -4 |