Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176l |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-13621540608 = -1 · 28 · 34 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,396,-4860] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1134:1] |
Generators of the group modulo torsion |
j |
26759139248/53209143 |
j-invariant |
L |
3.6889993519449 |
L(r)(E,1)/r! |
Ω |
0.65520398926979 |
Real period |
R |
2.8151533051991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14352p1 57408ba1 21528g1 93288c1 |
Quadratic twists by: -4 8 -3 13 |