Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200dw |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-1.1649816576E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37125,-164193750] |
[a1,a2,a3,a4,a6] |
Generators |
[14698191:677469312:6859] |
Generators of the group modulo torsion |
j |
35937/73984 |
j-invariant |
L |
6.6223916602446 |
L(r)(E,1)/r! |
Ω |
0.1051009680158 |
Real period |
R |
7.8762258154719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650bo1 61200ef1 61200ee1 |
Quadratic twists by: -4 -3 5 |