Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900u |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2876718750000 = -1 · 24 · 3 · 510 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3533,113688] |
[a1,a2,a3,a4,a6] |
Generators |
[4680:23484:125] |
Generators of the group modulo torsion |
j |
-19513606144/11506875 |
j-invariant |
L |
8.7698219577591 |
L(r)(E,1)/r! |
Ω |
0.74525117297882 |
Real period |
R |
5.8838028564912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380f1 |
Quadratic twists by: 5 |