Atkin-Lehner |
7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
73997j |
Isogeny class |
Conductor |
73997 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-138974928273304739 = -1 · 76 · 113 · 316 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-47409,-18355038] |
[a1,a2,a3,a4,a6] |
j |
-13278380032/156590819 |
j-invariant |
L |
2.5101961524596 |
L(r)(E,1)/r! |
Ω |
0.13945534009015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77b1 |
Quadratic twists by: -31 |