Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
650g |
Isogeny class |
Conductor |
650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-87880000 = -1 · 26 · 54 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,99,248] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-58:1] |
Generators of the group modulo torsion |
j |
174196775/140608 |
j-invariant |
L |
1.2442250386561 |
L(r)(E,1)/r! |
Ω |
1.2333181666217 |
Real period |
R |
0.16814058641823 |
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 |
5200bi2 20800bm2 5850ca2 650i2 |
Quadratic twists by: -4 8 -3 5 |