Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352bc |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-213650903232 = -1 · 26 · 35 · 135 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -3 13- 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1333,28637] |
[a1,a2,a3,a4,a6] |
Generators |
[68:507:1] |
Generators of the group modulo torsion |
j |
-4096000000000/3338295363 |
j-invariant |
L |
9.8486080875929 |
L(r)(E,1)/r! |
Ω |
0.91564401271002 |
Real period |
R |
0.43023742620285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92352bu1 1443a1 |
Quadratic twists by: -4 8 |