Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7098o |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
72153013733892 = 22 · 35 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76392,-8122814] |
[a1,a2,a3,a4,a6] |
j |
4649101309/6804 |
j-invariant |
L |
1.4359735516311 |
L(r)(E,1)/r! |
Ω |
0.28719471032623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56784bq1 21294cv1 49686v1 7098y1 |
Quadratic twists by: -4 -3 -7 13 |