Atkin-Lehner |
5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
110105d |
Isogeny class |
Conductor |
110105 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-2460493695564875 = -1 · 53 · 199 · 61 |
Discriminant |
Eigenvalues |
-2 -1 5- 1 -2 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,21540,-2060244] |
[a1,a2,a3,a4,a6] |
Generators |
[450:9927:1] |
Generators of the group modulo torsion |
j |
23491948544/52299875 |
j-invariant |
L |
3.2461255246724 |
L(r)(E,1)/r! |
Ω |
0.23768815712723 |
Real period |
R |
2.2761795613924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999175763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5795d1 |
Quadratic twists by: -19 |