Atkin-Lehner |
2+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62678c |
Isogeny class |
Conductor |
62678 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
552399341429804176 = 24 · 76 · 118 · 372 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-362236,76004352] |
[a1,a2,a3,a4,a6] |
Generators |
[593055:-40827474:125] |
Generators of the group modulo torsion |
j |
2967174609669873/311815027216 |
j-invariant |
L |
4.5895054181777 |
L(r)(E,1)/r! |
Ω |
0.28303545272858 |
Real period |
R |
8.1076511334075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999108 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5698d2 |
Quadratic twists by: -11 |