Atkin-Lehner |
2+ 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310bv |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-10269485237828250 = -1 · 2 · 314 · 53 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55543,7006556] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:-3268:1] |
Generators of the group modulo torsion |
j |
-161069099939929/87289184250 |
j-invariant |
L |
5.8917786321958 |
L(r)(E,1)/r! |
Ω |
0.37797156416584 |
Real period |
R |
0.18557010232941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190a1 |
Quadratic twists by: -7 |