Atkin-Lehner |
3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7917b |
Isogeny class |
Conductor |
7917 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63840 |
Modular degree for the optimal curve |
Δ |
-2770459351707411 = -1 · 37 · 76 · 135 · 29 |
Discriminant |
Eigenvalues |
2 3+ -3 7- -4 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,29028,-1679875] |
[a1,a2,a3,a4,a6] |
j |
2704955308444823552/2770459351707411 |
j-invariant |
L |
1.4778024994049 |
L(r)(E,1)/r! |
Ω |
0.24630041656749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126672bs1 23751e1 55419i1 102921c1 |
Quadratic twists by: -4 -3 -7 13 |