Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800be |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
88500000000 = 28 · 3 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44133,-3553863] |
[a1,a2,a3,a4,a6] |
Generators |
[-3273:46:27] |
Generators of the group modulo torsion |
j |
2376642789376/22125 |
j-invariant |
L |
5.4869076034172 |
L(r)(E,1)/r! |
Ω |
0.32938825894092 |
Real period |
R |
4.1644681122331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700m1 14160bc1 |
Quadratic twists by: -4 5 |