Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030by |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
-1077244193025000000 = -1 · 26 · 316 · 58 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,256245,-960975] |
[a1,a2,a3,a4,a6] |
Generators |
[60:3795:1] |
Generators of the group modulo torsion |
j |
1860757619473174902479/1077244193025000000 |
j-invariant |
L |
10.778877812288 |
L(r)(E,1)/r! |
Ω |
0.16438160097924 |
Real period |
R |
1.3660893499329 |
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 |
90090r3 |
Quadratic twists by: -3 |