Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5150h |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-25750000000 = -1 · 27 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 1 -1 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,425,7125] |
[a1,a2,a3,a4,a6] |
Generators |
[30:735:8] |
Generators of the group modulo torsion |
j |
4330747/13184 |
j-invariant |
L |
4.1054936203723 |
L(r)(E,1)/r! |
Ω |
0.83997452124007 |
Real period |
R |
2.4438203282114 |
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 |
41200bp1 46350cn1 5150r1 |
Quadratic twists by: -4 -3 5 |