Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325x |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7879680 |
Modular degree for the optimal curve |
Δ |
-1.2780631158595E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2175825,-2117670219] |
[a1,a2,a3,a4,a6] |
Generators |
[218844270401095162:24879030288461077235:16702615804328] |
Generators of the group modulo torsion |
j |
-100011063412043776/112203071899875 |
j-invariant |
L |
11.732803895752 |
L(r)(E,1)/r! |
Ω |
0.059545905482035 |
Real period |
R |
24.629745321641 |
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 |
38775n1 23265l1 |
Quadratic twists by: -3 5 |