Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30030bv |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2229727500 = 22 · 34 · 54 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-234906,43802136] |
[a1,a2,a3,a4,a6] |
Generators |
[300:444:1] |
Generators of the group modulo torsion |
j |
1433527923255259755169/2229727500 |
j-invariant |
L |
9.9810060565698 |
L(r)(E,1)/r! |
Ω |
0.93841266394063 |
Real period |
R |
1.329506522037 |
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 |
90090bw4 |
Quadratic twists by: -3 |