Atkin-Lehner |
5+ 7+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
117425c |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-5863417385546875 = -1 · 58 · 75 · 114 · 61 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 11- 4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12383,-3726231] |
[a1,a2,a3,a4,a6] |
Generators |
[313:4812:1] |
Generators of the group modulo torsion |
j |
-13440529432576/375258712675 |
j-invariant |
L |
3.9043955153938 |
L(r)(E,1)/r! |
Ω |
0.18501002841044 |
Real period |
R |
2.6379621273611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999821647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23485c1 |
Quadratic twists by: 5 |