Atkin-Lehner |
2+ 3- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862h |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-739884257395734528 = -1 · 211 · 314 · 7 · 115 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23742,-41402732] |
[a1,a2,a3,a4,a6] |
j |
-2030291400390625/1014930394232832 |
j-invariant |
L |
2.3026891109068 |
L(r)(E,1)/r! |
Ω |
0.12792717346342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30954s1 |
Quadratic twists by: -3 |