Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520w |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3519169310142720 = 28 · 316 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97700,-11369820] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:238:1] |
Generators of the group modulo torsion |
j |
402876451435348816/13746755117745 |
j-invariant |
L |
5.2675115593343 |
L(r)(E,1)/r! |
Ω |
0.27060419397637 |
Real period |
R |
3.2442904166483 |
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 |
53040bc1 79560l1 |
Quadratic twists by: -4 -3 |