Atkin-Lehner |
2+ 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334m |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
-316278093824 = -1 · 211 · 73 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 11- -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,581,-26275] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1016:1] |
Generators of the group modulo torsion |
j |
178771487807/2613868544 |
j-invariant |
L |
4.145745527533 |
L(r)(E,1)/r! |
Ω |
0.47285222014388 |
Real period |
R |
1.4612548319161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334bc1 |
Quadratic twists by: -11 |