Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bw |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
Δ |
-8802107813559060000 = -1 · 25 · 35 · 54 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,244854,134929476] |
[a1,a2,a3,a4,a6] |
Generators |
[1710:-75384:1] |
Generators of the group modulo torsion |
j |
1623473525188612978271/8802107813559060000 |
j-invariant |
L |
10.037670027138 |
L(r)(E,1)/r! |
Ω |
0.16706425966379 |
Real period |
R |
0.30041344711724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090bx3 |
Quadratic twists by: -3 |