Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1850d |
Isogeny class |
Conductor |
1850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-4485939200000000 = -1 · 223 · 58 · 372 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 -1 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77617,8944541] |
[a1,a2,a3,a4,a6] |
j |
-132384574175625/11484004352 |
j-invariant |
L |
2.5585784533506 |
L(r)(E,1)/r! |
Ω |
0.4264297422251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14800bf1 59200bw1 16650cg1 1850m1 |
Quadratic twists by: -4 8 -3 5 |