Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9975m |
Isogeny class |
Conductor |
9975 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-3667339921875 = -1 · 3 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1367,-89606] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1837:1] |
Generators of the group modulo torsion |
j |
18067226624/234709755 |
j-invariant |
L |
4.2394095922916 |
L(r)(E,1)/r! |
Ω |
0.38650958647412 |
Real period |
R |
0.39173022025191 |
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 |
29925z1 1995b1 69825m1 |
Quadratic twists by: -3 5 -7 |