Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bs |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-3448811520 = -1 · 212 · 37 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2021,-34419] |
[a1,a2,a3,a4,a6] |
Generators |
[1420652:5004691:24389] |
Generators of the group modulo torsion |
j |
-222985990144/841995 |
j-invariant |
L |
3.9736215731235 |
L(r)(E,1)/r! |
Ω |
0.35592780402938 |
Real period |
R |
11.164122409486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1155i1 73920ih1 55440es1 92400fz1 |
Quadratic twists by: -4 8 -3 5 |