Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400ck |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-1395000000000 = -1 · 29 · 32 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20208,-1113912] |
[a1,a2,a3,a4,a6] |
Generators |
[343602:10764522:343] |
Generators of the group modulo torsion |
j |
-182534600/279 |
j-invariant |
L |
7.7177677016915 |
L(r)(E,1)/r! |
Ω |
0.2001921965266 |
Real period |
R |
9.6379477290869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bw1 74400r1 |
Quadratic twists by: -4 5 |