Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34839j |
Isogeny class |
Conductor |
34839 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-62748123679899 = -1 · 39 · 79 · 79 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2499,-378072] |
[a1,a2,a3,a4,a6] |
Generators |
[63:171:1] |
Generators of the group modulo torsion |
j |
20123648/731619 |
j-invariant |
L |
3.2802556519287 |
L(r)(E,1)/r! |
Ω |
0.29920136528673 |
Real period |
R |
1.3704214086664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11613d1 4977d1 |
Quadratic twists by: -3 -7 |