Atkin-Lehner |
2+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640f |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
19302400000 = 214 · 55 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 4 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-688,-1888] |
[a1,a2,a3,a4,a6] |
Generators |
[-26711454:101088467:1481544] |
Generators of the group modulo torsion |
j |
2198209536/1178125 |
j-invariant |
L |
12.815155723203 |
L(r)(E,1)/r! |
Ω |
0.99167813290159 |
Real period |
R |
12.922696694112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120640by1 15080f1 |
Quadratic twists by: -4 8 |