Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210bi |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
4228224 |
Modular degree for the optimal curve |
Δ |
-1.6854975723848E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60747187,-76210319883] |
[a1,a2,a3,a4,a6] |
Generators |
[4355:518328:1] |
Generators of the group modulo torsion |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
6.8833639236195 |
L(r)(E,1)/r! |
Ω |
0.039347705829225 |
Real period |
R |
3.9758376219479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680dr1 5070f1 76050bm1 15210t1 |
Quadratic twists by: -4 -3 5 13 |