Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176i |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-10467366912 = -1 · 211 · 38 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-5078] |
[a1,a2,a3,a4,a6] |
Generators |
[178:261:8] |
Generators of the group modulo torsion |
j |
-778034/7011 |
j-invariant |
L |
8.3358410601787 |
L(r)(E,1)/r! |
Ω |
0.54315246919601 |
Real period |
R |
3.8367868657385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56088k1 37392d1 |
Quadratic twists by: -4 -3 |