Atkin-Lehner |
2- 7+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648i |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-4284860768190464 = -1 · 226 · 72 · 114 · 89 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 11+ 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10176,3177472] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-1694:1] |
Generators of the group modulo torsion |
j |
-28453633725889/1046108585984 |
j-invariant |
L |
4.0097910174026 |
L(r)(E,1)/r! |
Ω |
0.36422359364537 |
Real period |
R |
1.376143358728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999538772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706l1 |
Quadratic twists by: -4 |