Atkin-Lehner |
2+ 3+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352j |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-23642112 = -1 · 214 · 3 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213,1293] |
[a1,a2,a3,a4,a6] |
j |
-65536000/1443 |
j-invariant |
L |
2.1324789950336 |
L(r)(E,1)/r! |
Ω |
2.1324790582362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92352ck1 5772c1 |
Quadratic twists by: -4 8 |