Atkin-Lehner |
2+ 3+ 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318d |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-3461293318032 = -1 · 24 · 36 · 11 · 175 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3550,38724] |
[a1,a2,a3,a4,a6] |
Generators |
[80:878:1] |
Generators of the group modulo torsion |
j |
4945584271484375/3461293318032 |
j-invariant |
L |
1.9007352464305 |
L(r)(E,1)/r! |
Ω |
0.50115897238187 |
Real period |
R |
0.18963396359012 |
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 |
63954bc1 |
Quadratic twists by: -3 |