Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310c |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
10768773120000 = 215 · 3 · 54 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -3 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10658,-397452] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:123:1] |
Generators of the group modulo torsion |
j |
55772789609929/4485120000 |
j-invariant |
L |
3.816598874115 |
L(r)(E,1)/r! |
Ω |
0.47226577585018 |
Real period |
R |
1.3469106567931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310by1 |
Quadratic twists by: -7 |