Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763f |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27639627321973107 = 3 · 76 · 238 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -4 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-402315,-98061018] |
[a1,a2,a3,a4,a6] |
Generators |
[640289803972:12160094014167:690807104] |
Generators of the group modulo torsion |
j |
413493625/1587 |
j-invariant |
L |
6.0790700342314 |
L(r)(E,1)/r! |
Ω |
0.18960863500195 |
Real period |
R |
16.030572741112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1587c2 3381b2 |
Quadratic twists by: -7 -23 |