Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800m |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
58198439250000 = 24 · 36 · 56 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2660883,-1671542262] |
[a1,a2,a3,a4,a6] |
j |
8334147900493981696/232793757 |
j-invariant |
L |
3.5462091696733 |
L(r)(E,1)/r! |
Ω |
0.11820697323389 |
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 |
3192m1 |
Quadratic twists by: 5 |