Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200w |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
14706125000000 = 26 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6125,0] |
[a1,a2,a3,a4,a6] |
Generators |
[441:9114:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.5915339977822 |
L(r)(E,1)/r! |
Ω |
0.5927829349199 |
Real period |
R |
3.8728628367162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39200w1 78400jt2 39200cm1 800d1 |
Quadratic twists by: -4 8 5 -7 |