Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475ci |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-242096286796875 = -1 · 312 · 57 · 73 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -2 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9508,826144] |
[a1,a2,a3,a4,a6] |
Generators |
[23:787:1] [-103:850:1] |
Generators of the group modulo torsion |
j |
-17738739712/45172485 |
j-invariant |
L |
6.1981922784863 |
L(r)(E,1)/r! |
Ω |
0.49125754686862 |
Real period |
R |
0.13142699448067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12495e1 62475l1 |
Quadratic twists by: 5 -7 |