Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800bz |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
62658000 = 24 · 32 · 53 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,-228] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] [-4:12:1] |
Generators of the group modulo torsion |
j |
80494592/31329 |
j-invariant |
L |
8.7075934818777 |
L(r)(E,1)/r! |
Ω |
1.5125269866191 |
Real period |
R |
2.8784919405974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700u1 70800de1 |
Quadratic twists by: -4 5 |