Atkin-Lehner |
2+ 3- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26070q |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
64069632000 = 216 · 32 · 53 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20453,1124048] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-20:1] |
Generators of the group modulo torsion |
j |
946159258109868361/64069632000 |
j-invariant |
L |
4.2018619728306 |
L(r)(E,1)/r! |
Ω |
1.0488818848502 |
Real period |
R |
1.3353464082471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78210bh1 |
Quadratic twists by: -3 |