Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bt |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-266270929921769472 = -1 · 242 · 32 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6657,-24829857] |
[a1,a2,a3,a4,a6] |
Generators |
[65234806:-10058499165:2744] |
Generators of the group modulo torsion |
j |
-124475734657/1015742988288 |
j-invariant |
L |
7.6987032042846 |
L(r)(E,1)/r! |
Ω |
0.14105278815365 |
Real period |
R |
13.645074487808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664cs1 1302l1 124992cf1 |
Quadratic twists by: -4 8 -3 |