Atkin-Lehner |
2- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328bl |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
220160 |
Modular degree for the optimal curve |
Δ |
-51986394836992 = -1 · 212 · 75 · 112 · 792 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,968,347028] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-616:1] |
Generators of the group modulo torsion |
j |
24464768327/12691990927 |
j-invariant |
L |
5.9008901661963 |
L(r)(E,1)/r! |
Ω |
0.49175439546927 |
Real period |
R |
0.59998346935573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6083a1 |
Quadratic twists by: -4 |