Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192f |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-5771720448 = -1 · 28 · 37 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,-2090] |
[a1,a2,a3,a4,a6] |
Generators |
[6:22:1] [18:104:1] |
Generators of the group modulo torsion |
j |
35969456/30927 |
j-invariant |
L |
9.8909654090294 |
L(r)(E,1)/r! |
Ω |
0.74382167469892 |
Real period |
R |
6.6487477767123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096d1 38064i1 |
Quadratic twists by: -4 -3 |