Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360bh |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19430400 = 210 · 3 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-404800,98996048] |
[a1,a2,a3,a4,a6] |
Generators |
[376:300:1] |
Generators of the group modulo torsion |
j |
7163847625158892804/18975 |
j-invariant |
L |
6.0558027388615 |
L(r)(E,1)/r! |
Ω |
1.0110956860516 |
Real period |
R |
1.4973367067042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720i4 91080o4 |
Quadratic twists by: -4 -3 |