Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680ba |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-3861358776000000000 = -1 · 212 · 34 · 59 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,189179,-89143379] |
[a1,a2,a3,a4,a6] |
j |
182801706156486656/942714544921875 |
j-invariant |
L |
1.2472132351326 |
L(r)(E,1)/r! |
Ω |
0.12472133976526 |
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 |
6105h1 |
Quadratic twists by: -4 |