Atkin-Lehner |
2+ 3+ 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610g |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-52562218032000 = -1 · 27 · 38 · 53 · 193 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2812,352336] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3724:1] |
Generators of the group modulo torsion |
j |
-2460429675405001/52562218032000 |
j-invariant |
L |
4.1738449301918 |
L(r)(E,1)/r! |
Ω |
0.53029946195683 |
Real period |
R |
0.43726288735742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830cg1 |
Quadratic twists by: -3 |