Atkin-Lehner |
2+ 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114j |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-27386935325485056 = -1 · 211 · 33 · 178 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -5 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37130,-7467640] |
[a1,a2,a3,a4,a6] |
Generators |
[364:-7552:1] |
Generators of the group modulo torsion |
j |
234542659463/1134618624 |
j-invariant |
L |
2.8318083784655 |
L(r)(E,1)/r! |
Ω |
0.18876582216947 |
Real period |
R |
1.250141709007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242f1 |
Quadratic twists by: 17 |