Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530cd |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
594000 |
Modular degree for the optimal curve |
Δ |
-136654530693120 = -1 · 211 · 35 · 5 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11795,-265693] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
3.5851766134159 |
L(r)(E,1)/r! |
Ω |
0.32592504039944 |
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 |
930c1 |
Quadratic twists by: -11 |