Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5150i |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-530450000000 = -1 · 27 · 58 · 1032 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -3 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14617,-677459] |
[a1,a2,a3,a4,a6] |
Generators |
[169:1203:1] |
Generators of the group modulo torsion |
j |
-884209406985/1357952 |
j-invariant |
L |
1.3172983978513 |
L(r)(E,1)/r! |
Ω |
0.21707690678952 |
Real period |
R |
1.0113914751333 |
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 |
41200bq1 46350cp1 5150m1 |
Quadratic twists by: -4 -3 5 |