Atkin-Lehner |
2+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640c |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-171238192952320 = -1 · 210 · 5 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5147,645434] |
[a1,a2,a3,a4,a6] |
Generators |
[-355358270:-1926393336:3723875] |
Generators of the group modulo torsion |
j |
-14726049644484/167224797805 |
j-invariant |
L |
7.3933656458332 |
L(r)(E,1)/r! |
Ω |
0.48656155042306 |
Real period |
R |
15.195129248108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21320c3 |
Quadratic twists by: -4 |