Atkin-Lehner |
2+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850d |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
8770156250000 = 24 · 510 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -2 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28401,-1839052] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:122:1] |
Generators of the group modulo torsion |
j |
162137174277889/561290000 |
j-invariant |
L |
2.0897888338435 |
L(r)(E,1)/r! |
Ω |
0.36783951716826 |
Real period |
R |
1.4203128908744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170j1 |
Quadratic twists by: 5 |