Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472l |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
19154010636288 = 226 · 33 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10977,393057] |
[a1,a2,a3,a4,a6] |
Generators |
[656:16585:1] |
Generators of the group modulo torsion |
j |
558051585337/73066752 |
j-invariant |
L |
6.3466107400681 |
L(r)(E,1)/r! |
Ω |
0.6614455685231 |
Real period |
R |
4.7975306225836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472cf1 2046e1 |
Quadratic twists by: -4 8 |