Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600u |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-4.74351505988E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 2 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3817208,3057112912] |
[a1,a2,a3,a4,a6] |
Generators |
[-1558:72250:1] [2658:108086:1] |
Generators of the group modulo torsion |
j |
-63710026/4913 |
j-invariant |
L |
8.379268276087 |
L(r)(E,1)/r! |
Ω |
0.16301531520172 |
Real period |
R |
3.2126077626273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800n1 115600t1 6800f1 |
Quadratic twists by: -4 5 17 |