Atkin-Lehner |
2+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630i |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1568108291406250 = -1 · 2 · 58 · 117 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 11- 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32067,2904719] |
[a1,a2,a3,a4,a6] |
Generators |
[83:866:1] |
Generators of the group modulo torsion |
j |
-2058561081361/885156250 |
j-invariant |
L |
9.6591407103464 |
L(r)(E,1)/r! |
Ω |
0.44540176850527 |
Real period |
R |
1.3553971686694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330i1 |
Quadratic twists by: -11 |