Atkin-Lehner |
2+ 3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184p |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-10605086039856 = -1 · 24 · 3 · 77 · 11 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1385,-155882] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3234:1] |
Generators of the group modulo torsion |
j |
18350142531584/662817877491 |
j-invariant |
L |
6.6852406371787 |
L(r)(E,1)/r! |
Ω |
0.34701536431578 |
Real period |
R |
2.7521385901364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53592w1 |
Quadratic twists by: -4 |