Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656o |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-200331863311104 = -1 · 28 · 316 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 3 -6 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188561,-31460211] |
[a1,a2,a3,a4,a6] |
Generators |
[7886884:132315687:12167] |
Generators of the group modulo torsion |
j |
-8443986847157248/2281476213 |
j-invariant |
L |
3.5302034032167 |
L(r)(E,1)/r! |
Ω |
0.11455112522896 |
Real period |
R |
7.7044277404081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999981752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328w1 124656bf1 |
Quadratic twists by: -4 -7 |