Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310cb |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
9089938216800 = 25 · 33 · 52 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5881,92903] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:504:1] |
Generators of the group modulo torsion |
j |
3902092369/1576800 |
j-invariant |
L |
6.680635905095 |
L(r)(E,1)/r! |
Ω |
0.66298779326203 |
Real period |
R |
0.3358853152533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999799836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310dm1 |
Quadratic twists by: -7 |