Atkin-Lehner |
3+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23715c |
Isogeny class |
Conductor |
23715 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-23433384375 = -1 · 33 · 55 · 172 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 2 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-332,7806] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-81:1] |
Generators of the group modulo torsion |
j |
-149467669443/867903125 |
j-invariant |
L |
4.1344184323647 |
L(r)(E,1)/r! |
Ω |
1.0372964085548 |
Real period |
R |
0.39857637588132 |
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 |
23715a1 118575e1 |
Quadratic twists by: -3 5 |