Atkin-Lehner |
2+ 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94656n |
Isogeny class |
Conductor |
94656 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-18570639109824 = -1 · 26 · 35 · 175 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 3 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24281,1479099] |
[a1,a2,a3,a4,a6] |
Generators |
[118:493:1] |
Generators of the group modulo torsion |
j |
-24737814642405376/290166236091 |
j-invariant |
L |
4.0707820372896 |
L(r)(E,1)/r! |
Ω |
0.6911223277331 |
Real period |
R |
0.58901034896867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94656cd1 1479f1 |
Quadratic twists by: -4 8 |