Atkin-Lehner |
2+ 3- 5+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26070i |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1040975100 = -1 · 22 · 32 · 52 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-389,-3364] |
[a1,a2,a3,a4,a6] |
j |
-6485846213449/1040975100 |
j-invariant |
L |
2.1318839484063 |
L(r)(E,1)/r! |
Ω |
0.53297098710153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78210bs1 |
Quadratic twists by: -3 |