Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26640bt |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-16572211200 = -1 · 213 · 37 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,7594] |
[a1,a2,a3,a4,a6] |
Generators |
[5:72:1] [-22:90:1] |
Generators of the group modulo torsion |
j |
-4826809/5550 |
j-invariant |
L |
7.7472874842109 |
L(r)(E,1)/r! |
Ω |
1.1201922269571 |
Real period |
R |
0.21612606127368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3330w1 106560fe1 8880w1 |
Quadratic twists by: -4 8 -3 |