Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bb |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-34009251840 = -1 · 218 · 33 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,9599] |
[a1,a2,a3,a4,a6] |
Generators |
[2:93:1] |
Generators of the group modulo torsion |
j |
-47045881/129735 |
j-invariant |
L |
6.3841614380185 |
L(r)(E,1)/r! |
Ω |
1.0263887935138 |
Real period |
R |
1.0366704245608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760bp1 465a1 89280cv1 |
Quadratic twists by: -4 8 -3 |