Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200cg |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-10456593750000 = -1 · 24 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163875,-25534375] |
[a1,a2,a3,a4,a6] |
Generators |
[11824:1284957:1] |
Generators of the group modulo torsion |
j |
-21364083968/459 |
j-invariant |
L |
7.0947248114222 |
L(r)(E,1)/r! |
Ω |
0.11864264576159 |
Real period |
R |
7.4748889468294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600ba1 20400s1 61200ct1 |
Quadratic twists by: -4 -3 5 |