Atkin-Lehner |
2+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050n |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-3.2758451244351E+19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-104331301,410167208848] |
[a1,a2,a3,a4,a6] |
j |
-200949790549290210416116825/52413521990961152 |
j-invariant |
L |
1.3272489372219 |
L(r)(E,1)/r! |
Ω |
0.16590611715273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120400by1 15050o1 105350bo1 |
Quadratic twists by: -4 5 -7 |