Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930x |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-426011759928640 = -1 · 26 · 5 · 17 · 238 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,18504,219520] |
[a1,a2,a3,a4,a6] |
Generators |
[423810:7493050:4913] |
Generators of the group modulo torsion |
j |
8947391/5440 |
j-invariant |
L |
6.7515869849654 |
L(r)(E,1)/r! |
Ω |
0.32611788685671 |
Real period |
R |
10.35145153869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999727042 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89930bj1 |
Quadratic twists by: -23 |