Atkin-Lehner |
2+ 3- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030x |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-13321975891243500 = -1 · 22 · 310 · 53 · 133 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-238734,45299088] |
[a1,a2,a3,a4,a6] |
Generators |
[282:-726:1] |
Generators of the group modulo torsion |
j |
-2064144188960257249/18274315351500 |
j-invariant |
L |
4.7490325789489 |
L(r)(E,1)/r! |
Ω |
0.39995611776415 |
Real period |
R |
0.98949033989778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
23010r2 |
Quadratic twists by: -3 |