Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284r |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-13616646912 = -1 · 28 · 38 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160277,-24751113] |
[a1,a2,a3,a4,a6] |
Generators |
[649:12042:1] |
Generators of the group modulo torsion |
j |
-14699910846742528/439587 |
j-invariant |
L |
10.870031377275 |
L(r)(E,1)/r! |
Ω |
0.11930304576802 |
Real period |
R |
3.7963655531541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97284s1 |
Quadratic twists by: -11 |