Atkin-Lehner |
2+ 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352o |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2804852883456 = -1 · 215 · 34 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,-80511] |
[a1,a2,a3,a4,a6] |
Generators |
[73:520:1] |
Generators of the group modulo torsion |
j |
-306182024/85597317 |
j-invariant |
L |
3.3194716253178 |
L(r)(E,1)/r! |
Ω |
0.36041220240033 |
Real period |
R |
1.151276095112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bj3 46176v2 |
Quadratic twists by: -4 8 |