Atkin-Lehner |
3+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
118041d |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1212791949913467 = 3 · 76 · 112 · 734 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-100304,12070022] |
[a1,a2,a3,a4,a6] |
Generators |
[209:434:1] |
Generators of the group modulo torsion |
j |
948616119380593/10308561483 |
j-invariant |
L |
1.7982821541233 |
L(r)(E,1)/r! |
Ω |
0.48798202522413 |
Real period |
R |
1.8425700710087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2409f3 |
Quadratic twists by: -7 |