Atkin-Lehner |
2+ 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76912b |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
140544 |
Modular degree for the optimal curve |
Δ |
-235348335728 = -1 · 24 · 116 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 11+ -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1469,8669] |
[a1,a2,a3,a4,a6] |
j |
21911349028608/14709270983 |
j-invariant |
L |
2.4910477977892 |
L(r)(E,1)/r! |
Ω |
0.62276195324415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38456c1 |
Quadratic twists by: -4 |