Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800m |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
192542812500000000 = 28 · 3 · 513 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333033,70786563] |
[a1,a2,a3,a4,a6] |
Generators |
[-16494:184375:27] |
Generators of the group modulo torsion |
j |
1021237687573504/48135703125 |
j-invariant |
L |
7.261030262136 |
L(r)(E,1)/r! |
Ω |
0.31488583487346 |
Real period |
R |
1.9216039216464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400j1 14160b1 |
Quadratic twists by: -4 5 |