Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600cl |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
200201625000000 = 26 · 36 · 59 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-824625,-288225000] |
[a1,a2,a3,a4,a6] |
Generators |
[-524:26:1] [3475:197000:1] |
Generators of the group modulo torsion |
j |
680543142336/2197 |
j-invariant |
L |
11.162001182331 |
L(r)(E,1)/r! |
Ω |
0.15842930408268 |
Real period |
R |
11.742357520801 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600ck1 10400bf1 93600et1 |
Quadratic twists by: -4 -3 5 |