Atkin-Lehner |
3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31713c |
Isogeny class |
Conductor |
31713 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104160 |
Modular degree for the optimal curve |
Δ |
-84436212706659 = -1 · 32 · 11 · 318 |
Discriminant |
Eigenvalues |
-1 3+ 3 2 11- 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10551,150834] |
[a1,a2,a3,a4,a6] |
j |
152303/99 |
j-invariant |
L |
2.275060052172 |
L(r)(E,1)/r! |
Ω |
0.37917667536232 |
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 |
95139c1 31713f1 |
Quadratic twists by: -3 -31 |