Atkin-Lehner |
11+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
109021a |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148992 |
Modular degree for the optimal curve |
Δ |
-1080507131 = -1 · 113 · 172 · 532 |
Discriminant |
Eigenvalues |
0 -1 1 -4 11+ -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-42115,3340699] |
[a1,a2,a3,a4,a6] |
Generators |
[59:1028:1] [103:291:1] |
Generators of the group modulo torsion |
j |
-6206780453912576/811801 |
j-invariant |
L |
6.9451306083662 |
L(r)(E,1)/r! |
Ω |
1.2070699092024 |
Real period |
R |
0.71921379126084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109021c1 |
Quadratic twists by: -11 |