Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400eo |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-392000 = -1 · 26 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[13:50:1] |
Generators of the group modulo torsion |
j |
448 |
j-invariant |
L |
6.0112719554064 |
L(r)(E,1)/r! |
Ω |
1.5575200879266 |
Real period |
R |
1.9297574397054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ey1 39200bc1 78400ez1 78400du1 |
Quadratic twists by: -4 8 5 -7 |