Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710be |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-346841600 = -1 · 29 · 52 · 73 · 79 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -3 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,174,223] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [1:19:1] |
Generators of the group modulo torsion |
j |
1697936057/1011200 |
j-invariant |
L |
9.957686275185 |
L(r)(E,1)/r! |
Ω |
1.0417257943728 |
Real period |
R |
0.26552322888332 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38710bi1 |
Quadratic twists by: -7 |