Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bu |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
216854144000000 = 213 · 56 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58475,5396250] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:2888:1] |
Generators of the group modulo torsion |
j |
345505073913/3388346 |
j-invariant |
L |
6.3932430548996 |
L(r)(E,1)/r! |
Ω |
0.56347955510822 |
Real period |
R |
1.4182508890774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350s3 3952d4 |
Quadratic twists by: -4 5 |