Atkin-Lehner |
2+ 3+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184h |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
5252338590755300352 = 210 · 318 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4360664,3504630528] |
[a1,a2,a3,a4,a6] |
j |
8955332773826876214628/5129236905034473 |
j-invariant |
L |
1.4339248119175 |
L(r)(E,1)/r! |
Ω |
0.23898741934674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592bb1 |
Quadratic twists by: -4 |