Atkin-Lehner |
2+ 3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658z |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-30527314794500832 = -1 · 25 · 33 · 78 · 112 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126446,19229312] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:5776:1] |
Generators of the group modulo torsion |
j |
-38783744841625/5295467232 |
j-invariant |
L |
6.4259037345758 |
L(r)(E,1)/r! |
Ω |
0.35962248171686 |
Real period |
R |
2.9780784277273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007805 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119658j1 |
Quadratic twists by: -7 |