Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610r |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
101568 |
Modular degree for the optimal curve |
Δ |
-18256421191680 = -1 · 223 · 33 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 1 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1052,-205729] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-5531:1] |
Generators of the group modulo torsion |
j |
-4764530201283/676163747840 |
j-invariant |
L |
8.7985007429457 |
L(r)(E,1)/r! |
Ω |
0.30634138885776 |
Real period |
R |
0.2081248374508 |
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 |
29610b1 |
Quadratic twists by: -3 |