Atkin-Lehner |
2- 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110ci |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
819072 |
Modular degree for the optimal curve |
Δ |
-6292728000 = -1 · 26 · 36 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -6 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-530753,-148695919] |
[a1,a2,a3,a4,a6] |
Generators |
[7827:685396:1] |
Generators of the group modulo torsion |
j |
-22681553120346711241/8632000 |
j-invariant |
L |
7.4234463764613 |
L(r)(E,1)/r! |
Ω |
0.088439546822834 |
Real period |
R |
6.994840589175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10790d1 |
Quadratic twists by: -3 |