Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616z |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1377802648482011136 = -1 · 211 · 39 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-181251,63808290] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:9604:1] |
Generators of the group modulo torsion |
j |
-138853062/290521 |
j-invariant |
L |
5.5700599768744 |
L(r)(E,1)/r! |
Ω |
0.24042254681139 |
Real period |
R |
1.447987109148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38808h2 77616l2 11088f2 |
Quadratic twists by: -4 -3 -7 |