Atkin-Lehner |
2- 3- 7+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20202i |
Isogeny class |
Conductor |
20202 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
243440703828870912 = 28 · 324 · 7 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4608149,3807024225] |
[a1,a2,a3,a4,a6] |
Generators |
[1246:-317:1] |
Generators of the group modulo torsion |
j |
10821893543671847362938577/243440703828870912 |
j-invariant |
L |
7.6409004681224 |
L(r)(E,1)/r! |
Ω |
0.28879966941692 |
Real period |
R |
2.2047868232066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60606l4 |
Quadratic twists by: -3 |