Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20570c |
Isogeny class |
Conductor |
20570 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-36441009770 = -1 · 2 · 5 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 11- 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,602,7258] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:275:8] |
Generators of the group modulo torsion |
j |
13651919/20570 |
j-invariant |
L |
3.777014977327 |
L(r)(E,1)/r! |
Ω |
0.7862217288131 |
Real period |
R |
2.4020036835085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cm1 1870g1 |
Quadratic twists by: 5 -11 |