Atkin-Lehner |
2+ 3+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240c |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-257624789760 = -1 · 28 · 35 · 5 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1375,14085] |
[a1,a2,a3,a4,a6] |
Generators |
[37:338:1] |
Generators of the group modulo torsion |
j |
1122214697984/1006346835 |
j-invariant |
L |
3.8724146835944 |
L(r)(E,1)/r! |
Ω |
0.64126045729475 |
Real period |
R |
0.75484435371232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90480n1 |
Quadratic twists by: -4 |