Atkin-Lehner |
2- 3+ 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766w |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
101640265272 = 23 · 32 · 76 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3308,70229] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:367:1] |
Generators of the group modulo torsion |
j |
4003394794386625/101640265272 |
j-invariant |
L |
6.9807060889547 |
L(r)(E,1)/r! |
Ω |
1.0598556661945 |
Real period |
R |
1.0977447702888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298e2 |
Quadratic twists by: -3 |