Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400et |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-299748556800 = -1 · 219 · 33 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1968,-42048] |
[a1,a2,a3,a4,a6] |
j |
-8236063705/2927232 |
j-invariant |
L |
1.4083803503715 |
L(r)(E,1)/r! |
Ω |
0.35209505392786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550cf1 92400ib1 |
Quadratic twists by: -4 5 |