Atkin-Lehner |
2- 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cg |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2101248 |
Modular degree for the optimal curve |
Δ |
-405605080138104 = -1 · 23 · 32 · 712 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -4 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-520969,144518639] |
[a1,a2,a3,a4,a6] |
j |
-132914134898842753/3447586296 |
j-invariant |
L |
5.9282903540646 |
L(r)(E,1)/r! |
Ω |
0.4940242299082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094w1 |
Quadratic twists by: -7 |