Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800cg |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-31603654656000 = -1 · 218 · 39 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5940,-205200] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1088:1] |
Generators of the group modulo torsion |
j |
35937/49 |
j-invariant |
L |
8.1471660012836 |
L(r)(E,1)/r! |
Ω |
0.35059676051109 |
Real period |
R |
2.9047494640618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kd1 1575c1 100800ch1 100800bp1 |
Quadratic twists by: -4 8 -3 5 |