Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400he |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-51652616960000000 = -1 · 214 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91467,-2459437] |
[a1,a2,a3,a4,a6] |
Generators |
[30536:917525:512] |
Generators of the group modulo torsion |
j |
8192/5 |
j-invariant |
L |
8.2572418526007 |
L(r)(E,1)/r! |
Ω |
0.20598537686094 |
Real period |
R |
5.010817988519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bl1 19600cf1 15680ch1 78400ht1 |
Quadratic twists by: -4 8 5 -7 |