Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032x |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-130818000343744 = -1 · 26 · 79 · 373 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 3 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8918,-638666] |
[a1,a2,a3,a4,a6] |
Generators |
[570405:38523479:125] |
Generators of the group modulo torsion |
j |
-30371328/50653 |
j-invariant |
L |
5.4173595767692 |
L(r)(E,1)/r! |
Ω |
0.23234084674113 |
Real period |
R |
11.65821616421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999014313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032y1 58016m1 116032v1 |
Quadratic twists by: -4 8 -7 |