Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bw |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1158107343750000 = -1 · 24 · 32 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-377708,89236713] |
[a1,a2,a3,a4,a6] |
Generators |
[352:-147:1] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
6.3491393405879 |
L(r)(E,1)/r! |
Ω |
0.47365403592991 |
Real period |
R |
1.675574063283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800bj1 88200hh1 29400do1 4200f1 |
Quadratic twists by: -4 -3 5 -7 |