Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880u |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-6328320000 = -1 · 215 · 3 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6241,-191905] |
[a1,a2,a3,a4,a6] |
Generators |
[1477:56700:1] |
Generators of the group modulo torsion |
j |
-820551625928/193125 |
j-invariant |
L |
5.3989682582274 |
L(r)(E,1)/r! |
Ω |
0.26856170322915 |
Real period |
R |
5.0258173378031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880d1 49440m1 |
Quadratic twists by: -4 8 |