Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298bq |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
969408 |
Modular degree for the optimal curve |
Δ |
-88569989142345216 = -1 · 29 · 39 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60644,15444487] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-3313:1] |
Generators of the group modulo torsion |
j |
-5845851/20992 |
j-invariant |
L |
7.3049154953489 |
L(r)(E,1)/r! |
Ω |
0.29741390262271 |
Real period |
R |
0.45484159173628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298h1 89298i1 |
Quadratic twists by: -3 -11 |