Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736df |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
712800 |
Modular degree for the optimal curve |
Δ |
-1365773870064384 = -1 · 28 · 311 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196181,-33557889] |
[a1,a2,a3,a4,a6] |
Generators |
[547:4806:1] |
Generators of the group modulo torsion |
j |
-1841198792704/3011499 |
j-invariant |
L |
8.9783193518107 |
L(r)(E,1)/r! |
Ω |
0.11341292783324 |
Real period |
R |
3.5984030482106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684c1 816i1 |
Quadratic twists by: -4 -11 |