Atkin-Lehner |
2+ 3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390i |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-14231946240 = -1 · 210 · 37 · 5 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-855,11421] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:153:1] |
Generators of the group modulo torsion |
j |
-94881210481/19522560 |
j-invariant |
L |
4.4563742683115 |
L(r)(E,1)/r! |
Ω |
1.1986465650738 |
Real period |
R |
0.92945962210671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998533777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38130bc1 |
Quadratic twists by: -3 |