Atkin-Lehner |
2+ 5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350y |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-630430570000 = -1 · 24 · 54 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-392,38416] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:-182:1] [-32:148:1] |
Generators of the group modulo torsion |
j |
-10673944425/1008688912 |
j-invariant |
L |
8.8878879174648 |
L(r)(E,1)/r! |
Ω |
0.75046997125741 |
Real period |
R |
0.19738493342534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350bh1 |
Quadratic twists by: 5 |