Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334bi |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-23118073380864 = -1 · 214 · 39 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34913,2530225] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1508:1] |
Generators of the group modulo torsion |
j |
-239101479254763/1174519808 |
j-invariant |
L |
8.6567503468546 |
L(r)(E,1)/r! |
Ω |
0.67948730843797 |
Real period |
R |
0.15166810397854 |
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 |
26334e1 |
Quadratic twists by: -3 |