Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25092b |
Isogeny class |
Conductor |
25092 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-8999697456 = -1 · 24 · 39 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,4725] |
[a1,a2,a3,a4,a6] |
j |
-3538944/28577 |
j-invariant |
L |
1.1144362277609 |
L(r)(E,1)/r! |
Ω |
1.1144362277608 |
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 |
100368be1 25092c1 |
Quadratic twists by: -4 -3 |