Atkin-Lehner |
2- 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7254j |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-171590410368 = -1 · 27 · 39 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -6 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8426,300457] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-391:1] |
Generators of the group modulo torsion |
j |
-3360844835739/8717696 |
j-invariant |
L |
5.7808191748483 |
L(r)(E,1)/r! |
Ω |
1.0200845559346 |
Real period |
R |
0.13492857134377 |
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 |
58032w1 7254b1 94302i1 |
Quadratic twists by: -4 -3 13 |