Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bp |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
-250491495300300800 = -1 · 215 · 52 · 77 · 135 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 3 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2445868,-1472501392] |
[a1,a2,a3,a4,a6] |
Generators |
[1381896:19323460:729] |
Generators of the group modulo torsion |
j |
-49382471573276665608/7644393777475 |
j-invariant |
L |
9.3626201377205 |
L(r)(E,1)/r! |
Ω |
0.060361117555326 |
Real period |
R |
7.7555059588971 |
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 |
29120bz1 14560o1 |
Quadratic twists by: -4 8 |