Atkin-Lehner |
5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92455f |
Isogeny class |
Conductor |
92455 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-11753399659375 = -1 · 55 · 113 · 414 |
Discriminant |
Eigenvalues |
-1 2 5+ 5 11- -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1716,166484] |
[a1,a2,a3,a4,a6] |
Generators |
[216:3043:1] |
Generators of the group modulo torsion |
j |
-197767969/4159375 |
j-invariant |
L |
7.0682410485091 |
L(r)(E,1)/r! |
Ω |
0.60096842252108 |
Real period |
R |
3.9204727891314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92455b1 |
Quadratic twists by: 41 |