Atkin-Lehner |
2- 7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111034h |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-4924130461095329792 = -1 · 215 · 77 · 116 · 103 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-522733,180224547] |
[a1,a2,a3,a4,a6] |
Generators |
[5853:-240100:27] [1175:-35084:1] |
Generators of the group modulo torsion |
j |
-134268852569874625/41854418321408 |
j-invariant |
L |
14.594804625955 |
L(r)(E,1)/r! |
Ω |
0.2300139586507 |
Real period |
R |
0.17625505948363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15862e1 |
Quadratic twists by: -7 |