Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080i |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
200500402187250000 = 24 · 39 · 56 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1497582,-705068631] |
[a1,a2,a3,a4,a6] |
j |
1179462863932618752/636654734375 |
j-invariant |
L |
4.9132455687504 |
L(r)(E,1)/r! |
Ω |
0.13647904412738 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91080be1 |
Quadratic twists by: -3 |