Atkin-Lehner |
3- 5+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79335d |
Isogeny class |
Conductor |
79335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-20081671875 = -1 · 36 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 4 -6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-93,-6827] |
[a1,a2,a3,a4,a6] |
Generators |
[6614050:46101679:125000] |
Generators of the group modulo torsion |
j |
-122023936/27546875 |
j-invariant |
L |
13.042124187274 |
L(r)(E,1)/r! |
Ω |
0.54293083778246 |
Real period |
R |
12.010852284945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8815b1 |
Quadratic twists by: -3 |