Atkin-Lehner |
2+ 3- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21930u |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-934239052800 = -1 · 210 · 33 · 52 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2342,16268] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1985:1] |
Generators of the group modulo torsion |
j |
1421513286860519/934239052800 |
j-invariant |
L |
4.8698249392124 |
L(r)(E,1)/r! |
Ω |
0.55305022189926 |
Real period |
R |
0.24459426942018 |
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 |
65790ca1 109650br1 |
Quadratic twists by: -3 5 |