Atkin-Lehner |
2+ 3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658d |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1919232 |
Modular degree for the optimal curve |
Δ |
-498455997169350528 = -1 · 27 · 37 · 74 · 114 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22319,-33934571] |
[a1,a2,a3,a4,a6] |
j |
512065296949703/207603497363328 |
j-invariant |
L |
1.6548045555338 |
L(r)(E,1)/r! |
Ω |
0.13790034293841 |
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 |
119658bp1 |
Quadratic twists by: -7 |