Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cj |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.8803555529376E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78441700,267369640817] |
[a1,a2,a3,a4,a6] |
Generators |
[5881:-100401:1] |
Generators of the group modulo torsion |
j |
453708028140282858480049/4148233774139700 |
j-invariant |
L |
8.7824157414529 |
L(r)(E,1)/r! |
Ω |
0.14945004355592 |
Real period |
R |
7.34561156068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770x3 |
Quadratic twists by: -7 |