Atkin-Lehner |
2+ 3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110ba |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-7079319000000 = -1 · 26 · 38 · 56 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1179,129253] |
[a1,a2,a3,a4,a6] |
Generators |
[-314:2857:8] [17:-346:1] |
Generators of the group modulo torsion |
j |
-248739515569/9711000000 |
j-invariant |
L |
8.3079857910945 |
L(r)(E,1)/r! |
Ω |
0.62059048357325 |
Real period |
R |
1.1156022650962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370s1 |
Quadratic twists by: -3 |