Atkin-Lehner |
3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
507c |
Isogeny class |
Conductor |
507 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
413575475547 = 3 · 1310 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3299,64670] |
[a1,a2,a3,a4,a6] |
Generators |
[44:62:1] |
Generators of the group modulo torsion |
j |
822656953/85683 |
j-invariant |
L |
1.1623161892614 |
L(r)(E,1)/r! |
Ω |
0.91712782597108 |
Real period |
R |
1.2673437184513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8112bh3 32448be3 1521d3 12675w4 |
Quadratic twists by: -4 8 -3 5 |