Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120bz |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
280 |
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 |
[-1486:42728:1] [-1374:47320:1] |
Generators of the group modulo torsion |
j |
-49382471573276665608/7644393777475 |
j-invariant |
L |
5.0586172704883 |
L(r)(E,1)/r! |
Ω |
0.30129230658975 |
Real period |
R |
0.059963330813952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29120bp1 14560s1 |
Quadratic twists by: -4 8 |