Atkin-Lehner |
3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
112167h |
Isogeny class |
Conductor |
112167 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-434580263036469 = -1 · 39 · 118 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 3 -2 11- -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17764,-423332] |
[a1,a2,a3,a4,a6] |
Generators |
[982:30545:1] |
Generators of the group modulo torsion |
j |
17779581/12463 |
j-invariant |
L |
3.4753342206088 |
L(r)(E,1)/r! |
Ω |
0.29875860789076 |
Real period |
R |
2.9081456785369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112167g1 10197b1 |
Quadratic twists by: -3 -11 |