Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760d |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1958932905984000 = -1 · 226 · 35 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29919,-762975] |
[a1,a2,a3,a4,a6] |
Generators |
[183656:3253047:1331] |
Generators of the group modulo torsion |
j |
11298232190519/7472736000 |
j-invariant |
L |
4.5922994623958 |
L(r)(E,1)/r! |
Ω |
0.26593838794258 |
Real period |
R |
8.6341417234346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cn1 930h1 89280ch1 |
Quadratic twists by: -4 8 -3 |