Atkin-Lehner |
2- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29900h |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1943500000000 = -1 · 28 · 59 · 132 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -4 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,67063] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:234:1] [13:-250:1] |
Generators of the group modulo torsion |
j |
-4194304/485875 |
j-invariant |
L |
5.4468640656206 |
L(r)(E,1)/r! |
Ω |
0.68173999564365 |
Real period |
R |
0.33290209002133 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600bj1 5980a1 |
Quadratic twists by: -4 5 |