Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736t |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1017698018304 = 210 · 3 · 117 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22304,-1273776] |
[a1,a2,a3,a4,a6] |
Generators |
[134500:6148373:64] |
Generators of the group modulo torsion |
j |
676449508/561 |
j-invariant |
L |
6.3018497983431 |
L(r)(E,1)/r! |
Ω |
0.39068241596742 |
Real period |
R |
8.0651822916876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368s1 8976f1 |
Quadratic twists by: -4 -11 |