Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110bi |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2509056 |
Modular degree for the optimal curve |
Δ |
2.2804082687214E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1925919,-1002273075] |
[a1,a2,a3,a4,a6] |
Generators |
[-57036:181203:64] |
Generators of the group modulo torsion |
j |
1083703219791018913009/31281320558592000 |
j-invariant |
L |
5.5308110806956 |
L(r)(E,1)/r! |
Ω |
0.12838264920881 |
Real period |
R |
7.1801123680264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32370bc1 |
Quadratic twists by: -3 |