Atkin-Lehner |
2+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650bg |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-8185058000 = -1 · 24 · 53 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1612,25696] |
[a1,a2,a3,a4,a6] |
Generators |
[262:549:8] [-36:208:1] |
Generators of the group modulo torsion |
j |
-75659639517/1336336 |
j-invariant |
L |
4.4605710634077 |
L(r)(E,1)/r! |
Ω |
1.3125166497533 |
Real period |
R |
0.21240545140167 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650cn1 41650w1 |
Quadratic twists by: 5 -7 |