Atkin-Lehner |
2- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26180a |
Isogeny class |
Conductor |
26180 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
95904 |
Modular degree for the optimal curve |
Δ |
-106249433086720 = -1 · 28 · 5 · 79 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12341,720055] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:539:1] |
Generators of the group modulo torsion |
j |
-812026111197184/415036847995 |
j-invariant |
L |
3.5446388314155 |
L(r)(E,1)/r! |
Ω |
0.55428105145129 |
Real period |
R |
1.0658367934866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104720p1 |
Quadratic twists by: -4 |