Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
112632o |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1673327895408 = -1 · 24 · 32 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -4 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-62199] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-1083:1] |
Generators of the group modulo torsion |
j |
-256/2223 |
j-invariant |
L |
3.2474895892229 |
L(r)(E,1)/r! |
Ω |
0.38276502437243 |
Real period |
R |
1.0605362716976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000166743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5928i1 |
Quadratic twists by: -19 |