Atkin-Lehner |
2+ 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10934b |
Isogeny class |
Conductor |
10934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-8266191472 = -1 · 24 · 7 · 114 · 712 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11454,467108] |
[a1,a2,a3,a4,a6] |
j |
-166208982750721513/8266191472 |
j-invariant |
L |
2.4702610747463 |
L(r)(E,1)/r! |
Ω |
1.2351305373732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87472g1 98406j1 76538q1 120274s1 |
Quadratic twists by: -4 -3 -7 -11 |