Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080bv |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
584896189405593600 = 230 · 312 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-297228,-50360848] |
[a1,a2,a3,a4,a6] |
Generators |
[616:540:1] |
Generators of the group modulo torsion |
j |
15195864748609/3060633600 |
j-invariant |
L |
3.5037775222898 |
L(r)(E,1)/r! |
Ω |
0.20735377816316 |
Real period |
R |
4.2243956303576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998420203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080ew1 3690l1 39360p1 |
Quadratic twists by: -4 8 -3 |