Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310bg |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-1253145600 = -1 · 210 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47,1719] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:42:1] |
Generators of the group modulo torsion |
j |
-416832723/46412800 |
j-invariant |
L |
8.0185760542262 |
L(r)(E,1)/r! |
Ω |
1.2580102247068 |
Real period |
R |
0.31870075046866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310a1 116550m1 |
Quadratic twists by: -3 5 |