Atkin-Lehner |
5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
92455n |
Isogeny class |
Conductor |
92455 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1446480 |
Modular degree for the optimal curve |
Δ |
-738246262058382055 = -1 · 5 · 11 · 4110 |
Discriminant |
Eigenvalues |
-1 2 5- 3 11- -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58870,-41727398] |
[a1,a2,a3,a4,a6] |
Generators |
[29459152886966520629788589803259179340:338342657866478437619190347381276955154:63547472515013194251887795963625659] |
Generators of the group modulo torsion |
j |
-1681/55 |
j-invariant |
L |
7.4397871901363 |
L(r)(E,1)/r! |
Ω |
0.12400757980748 |
Real period |
R |
59.994616471723 |
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 |
92455k1 |
Quadratic twists by: 41 |