Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378q |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-19273460864 = -1 · 27 · 75 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -2 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1201,17257] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-509:1] |
Generators of the group modulo torsion |
j |
-191591101730449/19273460864 |
j-invariant |
L |
6.843359975386 |
L(r)(E,1)/r! |
Ω |
1.1903381738623 |
Real period |
R |
0.082129841342014 |
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 |
59024l1 66402l1 51646bh1 125426n1 |
Quadratic twists by: -4 -3 -7 17 |