Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370bt |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
368256 |
Modular degree for the optimal curve |
Δ |
-153184175156250 = -1 · 2 · 34 · 57 · 74 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10463,723188] |
[a1,a2,a3,a4,a6] |
Generators |
[204:-2765:1] |
Generators of the group modulo torsion |
j |
-52752197944201/63800156250 |
j-invariant |
L |
7.0292376529595 |
L(r)(E,1)/r! |
Ω |
0.5224979832124 |
Real period |
R |
0.24023461245442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370d1 |
Quadratic twists by: -7 |