Atkin-Lehner |
3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15345l |
Isogeny class |
Conductor |
15345 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-26703896484375 = -1 · 36 · 510 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8672,-395854] |
[a1,a2,a3,a4,a6] |
Generators |
[136:894:1] |
Generators of the group modulo torsion |
j |
-98925223576249/36630859375 |
j-invariant |
L |
3.6105852467596 |
L(r)(E,1)/r! |
Ω |
0.24287861703402 |
Real period |
R |
1.4865801242 |
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 |
1705a1 76725x1 |
Quadratic twists by: -3 5 |