Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94380r |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-7632285541452000000 = -1 · 28 · 33 · 56 · 114 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-568861,211799135] |
[a1,a2,a3,a4,a6] |
Generators |
[557:8250:1] |
Generators of the group modulo torsion |
j |
-5431655920328704/2036310046875 |
j-invariant |
L |
7.6465755005627 |
L(r)(E,1)/r! |
Ω |
0.22048781406949 |
Real period |
R |
0.96334065357348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004941 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
94380n1 |
Quadratic twists by: -11 |