Atkin-Lehner |
7- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
95893d |
Isogeny class |
Conductor |
95893 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
208320 |
Modular degree for the optimal curve |
Δ |
-56938818416179 = -1 · 710 · 19 · 1032 |
Discriminant |
Eigenvalues |
-1 2 -1 7- -5 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2451,-367060] |
[a1,a2,a3,a4,a6] |
Generators |
[10905:32531:125] |
Generators of the group modulo torsion |
j |
-5764801/201571 |
j-invariant |
L |
4.4584281788703 |
L(r)(E,1)/r! |
Ω |
0.27332990646051 |
Real period |
R |
8.1557635366924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95893a1 |
Quadratic twists by: -7 |