Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600bv |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
6709594500000000 = 28 · 35 · 59 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224708,-40734588] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:434:1] |
Generators of the group modulo torsion |
j |
2509638935312/13419189 |
j-invariant |
L |
4.8009982831814 |
L(r)(E,1)/r! |
Ω |
0.21934844802587 |
Real period |
R |
2.7359427004585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96600bh1 |
Quadratic twists by: 5 |