Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29900j |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-185954080000 = -1 · 28 · 54 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 2 5- -5 5 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1108,25512] |
[a1,a2,a3,a4,a6] |
Generators |
[6:138:1] |
Generators of the group modulo torsion |
j |
-941054800/1162213 |
j-invariant |
L |
6.9363223891856 |
L(r)(E,1)/r! |
Ω |
0.91363017744825 |
Real period |
R |
1.2653410100351 |
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 |
119600cj1 29900i1 |
Quadratic twists by: -4 5 |