Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bb |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-1696253870080000000 = -1 · 224 · 57 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1461633,682544863] |
[a1,a2,a3,a4,a6] |
j |
-84309998289049/414124480 |
j-invariant |
L |
2.1370258943208 |
L(r)(E,1)/r! |
Ω |
0.2671281813307 |
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 |
123200fn1 3850o1 24640w1 |
Quadratic twists by: -4 8 5 |