Atkin-Lehner |
2+ 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34410a |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51615000 = 23 · 32 · 54 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-440448,112326408] |
[a1,a2,a3,a4,a6] |
Generators |
[383:-183:1] |
Generators of the group modulo torsion |
j |
9449507620734650778889/51615000 |
j-invariant |
L |
1.5023686626956 |
L(r)(E,1)/r! |
Ω |
0.96863755017187 |
Real period |
R |
1.5510122051626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103230bb4 |
Quadratic twists by: -3 |