Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3978f |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
1.239953643413E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1304559,-204348371] |
[a1,a2,a3,a4,a6] |
Generators |
[-834:17825:1] |
Generators of the group modulo torsion |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
1.6812918027108 |
L(r)(E,1)/r! |
Ω |
0.14897519191903 |
Real period |
R |
1.1285716642168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31824bh1 127296by1 442e1 99450dd1 |
Quadratic twists by: -4 8 -3 5 |