Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080q |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-21155099443200000 = -1 · 223 · 39 · 55 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12360492,16726373424] |
[a1,a2,a3,a4,a6] |
Generators |
[2038:640:1] |
Generators of the group modulo torsion |
j |
-40476203551642923/4100000 |
j-invariant |
L |
7.6597456889065 |
L(r)(E,1)/r! |
Ω |
0.29490616588195 |
Real period |
R |
0.64933752949509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080dp1 3690n1 118080a1 |
Quadratic twists by: -4 8 -3 |