Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380p |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
199343519100000000 = 28 · 312 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1064127,421964854] |
[a1,a2,a3,a4,a6] |
Generators |
[6274:-66825:8] |
Generators of the group modulo torsion |
j |
714063125369965264/1068155859375 |
j-invariant |
L |
6.4913856074594 |
L(r)(E,1)/r! |
Ω |
0.31731710737712 |
Real period |
R |
1.2785683186509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460j2 |
Quadratic twists by: -3 |