Atkin-Lehner |
5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
57575o |
Isogeny class |
Conductor |
57575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41400 |
Modular degree for the optimal curve |
Δ |
-44080859375 = -1 · 58 · 74 · 47 |
Discriminant |
Eigenvalues |
1 1 5- 7+ -2 4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3701,86923] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:411:1] |
Generators of the group modulo torsion |
j |
-5975305/47 |
j-invariant |
L |
7.3512205935651 |
L(r)(E,1)/r! |
Ω |
1.1450219359377 |
Real period |
R |
2.1400523322799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57575b1 57575p1 |
Quadratic twists by: 5 -7 |