Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578i |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8876729872516364334 = -1 · 2 · 37 · 76 · 297 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2871360,-1877509418] |
[a1,a2,a3,a4,a6] |
Generators |
[1265502185:18321935486:614125] |
Generators of the group modulo torsion |
j |
-30526075007211889/103499257854 |
j-invariant |
L |
3.6018964039603 |
L(r)(E,1)/r! |
Ω |
0.057977499439909 |
Real period |
R |
15.531440812196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8526o2 522d2 |
Quadratic twists by: -3 -7 |