Atkin-Lehner |
2+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30544h |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
433664 |
Modular degree for the optimal curve |
Δ |
-229679535576202928 = -1 · 24 · 232 · 837 |
Discriminant |
Eigenvalues |
2+ 1 -2 -3 -5 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-585879,173945780] |
[a1,a2,a3,a4,a6] |
Generators |
[-752:13778:1] |
Generators of the group modulo torsion |
j |
-1390043097747102226432/14354970973512683 |
j-invariant |
L |
3.5769207423671 |
L(r)(E,1)/r! |
Ω |
0.31532555203764 |
Real period |
R |
0.81025574074002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15272b1 122176bp1 |
Quadratic twists by: -4 8 |