Atkin-Lehner |
2+ 3+ 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34410a |
Isogeny class |
Conductor |
34410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
623097734717160 = 23 · 32 · 5 · 314 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29328,1502712] |
[a1,a2,a3,a4,a6] |
Generators |
[47:457:1] |
Generators of the group modulo torsion |
j |
2789935689832537609/623097734717160 |
j-invariant |
L |
1.5023686626956 |
L(r)(E,1)/r! |
Ω |
0.48431877508593 |
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 |
103230bb3 |
Quadratic twists by: -3 |