Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400db |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-1035075753000000000 = -1 · 29 · 36 · 59 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1224675,-523941750] |
[a1,a2,a3,a4,a6] |
Generators |
[273899707140110:4804660038682250:192199929011] |
Generators of the group modulo torsion |
j |
-34831225434312/177482125 |
j-invariant |
L |
6.3521138406674 |
L(r)(E,1)/r! |
Ω |
0.071735147485552 |
Real period |
R |
22.137383358509 |
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 |
122400t1 13600g1 24480t1 |
Quadratic twists by: -4 -3 5 |