Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645j |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480480 |
Modular degree for the optimal curve |
Δ |
-8936109546315875 = -1 · 53 · 79 · 116 |
Discriminant |
Eigenvalues |
2 3 5+ 7- 11- -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41503,5592529] |
[a1,a2,a3,a4,a6] |
Generators |
[1047100246149342:-57926313301675213:28534796501112] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
17.379667953936 |
L(r)(E,1)/r! |
Ω |
0.37315618757931 |
Real period |
R |
23.287390819752 |
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 |
29645p1 245b1 |
Quadratic twists by: -7 -11 |