Atkin-Lehner |
2- 3+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130bh |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1144968750 = -1 · 2 · 33 · 56 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,172,-1419] |
[a1,a2,a3,a4,a6] |
Generators |
[660:2013:64] |
Generators of the group modulo torsion |
j |
20956092093/42406250 |
j-invariant |
L |
10.819781166327 |
L(r)(E,1)/r! |
Ω |
0.80469222733748 |
Real period |
R |
3.3614656504486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130e1 |
Quadratic twists by: -3 |