Atkin-Lehner |
3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26235d |
Isogeny class |
Conductor |
26235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-73048078125 = -1 · 36 · 56 · 112 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-495,-13554] |
[a1,a2,a3,a4,a6] |
Generators |
[2452:8399:64] |
Generators of the group modulo torsion |
j |
-18420660721/100203125 |
j-invariant |
L |
5.7787257960186 |
L(r)(E,1)/r! |
Ω |
0.45492993920382 |
Real period |
R |
3.1756130439184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2915c1 |
Quadratic twists by: -3 |