Atkin-Lehner |
2+ 3- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030x |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
16435321402500 = 22 · 38 · 54 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15023,680078] |
[a1,a2,a3,a4,a6] |
Generators |
[129:-1010:1] |
Generators of the group modulo torsion |
j |
374931696554974441/16435321402500 |
j-invariant |
L |
5.7775441639086 |
L(r)(E,1)/r! |
Ω |
0.68829493078633 |
Real period |
R |
0.26231234176878 |
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 |
90090cx2 |
Quadratic twists by: -3 |