Atkin-Lehner |
2+ 3+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31302b |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-374873127624 = -1 · 23 · 39 · 373 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 0 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1767,6677] |
[a1,a2,a3,a4,a6] |
Generators |
[17:195:1] |
Generators of the group modulo torsion |
j |
30988732221/19045528 |
j-invariant |
L |
5.5159310325964 |
L(r)(E,1)/r! |
Ω |
0.58795219648501 |
Real period |
R |
1.5635996332051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31302k1 |
Quadratic twists by: -3 |