Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310ca |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-523580441287680 = -1 · 210 · 35 · 5 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48756,-4307787] |
[a1,a2,a3,a4,a6] |
Generators |
[519:10253:1] |
Generators of the group modulo torsion |
j |
-2223433546369/90823680 |
j-invariant |
L |
9.3747406509359 |
L(r)(E,1)/r! |
Ω |
0.1602597944889 |
Real period |
R |
5.8497146381784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310dj1 |
Quadratic twists by: -7 |