Atkin-Lehner |
5+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
97825b |
Isogeny class |
Conductor |
97825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
79920 |
Modular degree for the optimal curve |
Δ |
-136905011425 = -1 · 52 · 73 · 135 · 43 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 5 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2882,62881] |
[a1,a2,a3,a4,a6] |
Generators |
[1056:2011:27] |
Generators of the group modulo torsion |
j |
-105913274296545/5476200457 |
j-invariant |
L |
5.9537214652253 |
L(r)(E,1)/r! |
Ω |
1.0243206170061 |
Real period |
R |
5.8123612501211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97825t1 |
Quadratic twists by: 5 |