Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200ca |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-6639639621120000 = -1 · 212 · 311 · 54 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10200,-3940400] |
[a1,a2,a3,a4,a6] |
Generators |
[296:-4356:1] |
Generators of the group modulo torsion |
j |
-62886400/3557763 |
j-invariant |
L |
6.546131446394 |
L(r)(E,1)/r! |
Ω |
0.18526604416654 |
Real period |
R |
1.4722367395761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cf1 26400cf1 79200dh1 |
Quadratic twists by: -4 -3 5 |