Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ck |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-297086147820000000 = -1 · 28 · 313 · 57 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154033,35007563] |
[a1,a2,a3,a4,a6] |
Generators |
[398:6075:1] |
Generators of the group modulo torsion |
j |
-101043379262464/74271536955 |
j-invariant |
L |
9.4552209279869 |
L(r)(E,1)/r! |
Ω |
0.28267688885059 |
Real period |
R |
1.286494785237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200e1 18480b1 |
Quadratic twists by: -4 5 |