Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-51652616960000000 = -1 · 214 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-594533,176586563] |
[a1,a2,a3,a4,a6] |
Generators |
[3754:8575:8] |
Generators of the group modulo torsion |
j |
-2249728/5 |
j-invariant |
L |
5.4257565114571 |
L(r)(E,1)/r! |
Ω |
0.35618846934195 |
Real period |
R |
1.9041030858873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bw1 19600r1 15680cm1 78400ia1 |
Quadratic twists by: -4 8 5 -7 |