Atkin-Lehner |
2+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98758c |
Isogeny class |
Conductor |
98758 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24288 |
Modular degree for the optimal curve |
Δ |
-4345352 = -1 · 23 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ -1 0 4 11- 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-160,-856] |
[a1,a2,a3,a4,a6] |
Generators |
[278:1401:8] |
Generators of the group modulo torsion |
j |
-101898625/968 |
j-invariant |
L |
5.2771796991675 |
L(r)(E,1)/r! |
Ω |
0.67025589813673 |
Real period |
R |
3.9366902379073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98758d1 |
Quadratic twists by: -67 |