Atkin-Lehner |
2- 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bg |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
420480000000000 = 216 · 32 · 510 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3422408,-2435804688] |
[a1,a2,a3,a4,a6] |
j |
69269046933912769/6570000 |
j-invariant |
L |
3.9959413284586 |
L(r)(E,1)/r! |
Ω |
0.11099836992608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950k1 17520u1 |
Quadratic twists by: -4 5 |