Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498k |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6.8623241944484E+26 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-217913342,-1766800687798] |
[a1,a2,a3,a4,a6] |
Generators |
[40370:7411431:1] |
Generators of the group modulo torsion |
j |
-446030778735169043473/267461260498268466 |
j-invariant |
L |
7.4349450386501 |
L(r)(E,1)/r! |
Ω |
0.019122733571671 |
Real period |
R |
7.2000253972808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9.0000000000619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554n3 |
Quadratic twists by: 37 |