Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050f |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-61644800000000 = -1 · 219 · 58 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -1 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-626,-377852] |
[a1,a2,a3,a4,a6] |
Generators |
[7432:636996:1] |
Generators of the group modulo torsion |
j |
-1732323601/3945267200 |
j-invariant |
L |
4.1250205823523 |
L(r)(E,1)/r! |
Ω |
0.28214213337301 |
Real period |
R |
7.3101818098519 |
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 |
120400y1 3010h1 105350o1 |
Quadratic twists by: -4 5 -7 |