Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bk |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
85604112 = 24 · 32 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,-1641] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:3:1] [21:51:1] |
Generators of the group modulo torsion |
j |
1007877376/44217 |
j-invariant |
L |
10.779146183907 |
L(r)(E,1)/r! |
Ω |
1.1917727148417 |
Real period |
R |
1.5074387436199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368bb1 98736bd1 |
Quadratic twists by: -4 -11 |