Atkin-Lehner |
3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165a |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-26545564027734375 = -1 · 3 · 58 · 137 · 192 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14362,-7804857] |
[a1,a2,a3,a4,a6] |
Generators |
[1274268:34115519:1728] |
Generators of the group modulo torsion |
j |
67867385039/5499609375 |
j-invariant |
L |
5.0461796477661 |
L(r)(E,1)/r! |
Ω |
0.1787619074566 |
Real period |
R |
7.0571238016439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705e1 |
Quadratic twists by: 13 |