Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1530o |
Isogeny class |
Conductor |
1530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
758724285657600 = 29 · 320 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-415742,-103064691] |
[a1,a2,a3,a4,a6] |
j |
10901014250685308569/1040774054400 |
j-invariant |
L |
3.3842984431181 |
L(r)(E,1)/r! |
Ω |
0.18801658017323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12240bz2 48960bl2 510a2 7650x2 |
Quadratic twists by: -4 8 -3 5 |