Atkin-Lehner |
3+ 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26235b |
Isogeny class |
Conductor |
26235 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2705484375 = -1 · 33 · 56 · 112 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,276,-1845] |
[a1,a2,a3,a4,a6] |
Generators |
[78:291:8] |
Generators of the group modulo torsion |
j |
85941272997/100203125 |
j-invariant |
L |
6.4731253903978 |
L(r)(E,1)/r! |
Ω |
0.77301483587169 |
Real period |
R |
1.3956449238344 |
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 |
26235a1 |
Quadratic twists by: -3 |