Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632bb |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1128450781741056 = -1 · 217 · 3 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -2 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20520,-1979724] |
[a1,a2,a3,a4,a6] |
Generators |
[380:6726:1] |
Generators of the group modulo torsion |
j |
-233301213501481/275500679136 |
j-invariant |
L |
6.9006411906313 |
L(r)(E,1)/r! |
Ω |
0.19078608695371 |
Real period |
R |
3.0141266678628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6954a1 |
Quadratic twists by: -4 |