Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478k |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
812448 |
Modular degree for the optimal curve |
Δ |
3033702821388288 = 213 · 3 · 710 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -1 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37265,787221] |
[a1,a2,a3,a4,a6] |
Generators |
[-5397:17471:27] |
Generators of the group modulo torsion |
j |
20261187625/10739712 |
j-invariant |
L |
3.1078834414317 |
L(r)(E,1)/r! |
Ω |
0.39463140476988 |
Real period |
R |
7.8754081665894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000172189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478bd1 |
Quadratic twists by: -7 |