Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103880h |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
12275712 |
Modular degree for the optimal curve |
Δ |
-5.7242362777968E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15951803,43890799302] |
[a1,a2,a3,a4,a6] |
Generators |
[16258:1127575:8] |
Generators of the group modulo torsion |
j |
-3726188731883770884/4751484917029375 |
j-invariant |
L |
4.9485101540082 |
L(r)(E,1)/r! |
Ω |
0.08310418056824 |
Real period |
R |
4.9621552376454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14840d1 |
Quadratic twists by: -7 |