Atkin-Lehner |
2+ 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430x |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
287222162616900 = 22 · 38 · 52 · 76 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16569,99225] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:672:1] [-116:729:1] |
Generators of the group modulo torsion |
j |
690080604747409/393994736100 |
j-invariant |
L |
7.0961356453254 |
L(r)(E,1)/r! |
Ω |
0.46974763801641 |
Real period |
R |
1.258856009596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12810t2 |
Quadratic twists by: -3 |