Atkin-Lehner |
2+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
38710a |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35952 |
Modular degree for the optimal curve |
Δ |
-9590170240 = -1 · 27 · 5 · 74 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -5 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2165,39605] |
[a1,a2,a3,a4,a6] |
Generators |
[31:24:1] |
Generators of the group modulo torsion |
j |
-467539260489/3994240 |
j-invariant |
L |
2.2730506495206 |
L(r)(E,1)/r! |
Ω |
1.3000042564229 |
Real period |
R |
0.87424738737889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710r1 |
Quadratic twists by: -7 |