Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7395f |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-35370055755 = -1 · 315 · 5 · 17 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,579,-7099] |
[a1,a2,a3,a4,a6] |
j |
21429355544576/35370055755 |
j-invariant |
L |
1.0181670882633 |
L(r)(E,1)/r! |
Ω |
0.61090025295797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118320z1 22185t1 36975i1 125715m1 |
Quadratic twists by: -4 -3 5 17 |