Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dh |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1081344 |
Modular degree for the optimal curve |
Δ |
85801601264400 = 24 · 32 · 52 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-399935,97314825] |
[a1,a2,a3,a4,a6] |
Generators |
[394760:7856645:512] |
Generators of the group modulo torsion |
j |
47788676405569/579600 |
j-invariant |
L |
13.28488203985 |
L(r)(E,1)/r! |
Ω |
0.55075023362952 |
Real period |
R |
6.0303569458445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039652 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bd1 |
Quadratic twists by: -23 |