Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bt |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
253983486992449536 = 224 · 38 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20998657,-37043957665] |
[a1,a2,a3,a4,a6] |
Generators |
[622121093:23747243520:103823] |
Generators of the group modulo torsion |
j |
3906235026100294102657/968870113344 |
j-invariant |
L |
7.6987032042846 |
L(r)(E,1)/r! |
Ω |
0.070526394076824 |
Real period |
R |
13.645074487808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41664cs4 1302l3 124992cf4 |
Quadratic twists by: -4 8 -3 |