Atkin-Lehner |
2- 3+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302k |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-151222560066 = -1 · 2 · 39 · 37 · 473 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3134,-69281] |
[a1,a2,a3,a4,a6] |
Generators |
[2149770:10405867:27000] |
Generators of the group modulo torsion |
j |
-172901784411/7682902 |
j-invariant |
L |
7.3321046380638 |
L(r)(E,1)/r! |
Ω |
0.31822113465297 |
Real period |
R |
11.520455179791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31302b1 |
Quadratic twists by: -3 |