Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130i |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-5961654040320 = -1 · 28 · 32 · 5 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1798,-113004] |
[a1,a2,a3,a4,a6] |
Generators |
[28047:891184:27] |
Generators of the group modulo torsion |
j |
13651919/126720 |
j-invariant |
L |
4.6595091639942 |
L(r)(E,1)/r! |
Ω |
0.37414639738493 |
Real period |
R |
6.2268529041599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330b1 |
Quadratic twists by: -19 |