Atkin-Lehner |
7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26999l |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-88442180742374851 = -1 · 76 · 197 · 292 |
Discriminant |
Eigenvalues |
2 2 1 7- -3 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-116440,20981939] |
[a1,a2,a3,a4,a6] |
Generators |
[4341122365906410:-63320675507770573:25646276349000] |
Generators of the group modulo torsion |
j |
-1484040633094144/751746132499 |
j-invariant |
L |
15.663125638491 |
L(r)(E,1)/r! |
Ω |
0.31658950765238 |
Real period |
R |
24.737278494538 |
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 |
551c1 |
Quadratic twists by: -7 |