Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840t |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
41983839000000 = 26 · 312 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30480,2034522] |
[a1,a2,a3,a4,a6] |
Generators |
[119:280:1] |
Generators of the group modulo torsion |
j |
48933116293063744/655997484375 |
j-invariant |
L |
6.0661448647464 |
L(r)(E,1)/r! |
Ω |
0.64515330764414 |
Real period |
R |
3.1342136270712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840bk1 37920q2 |
Quadratic twists by: -4 8 |