Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648bd |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3420057519753746688 = -1 · 28 · 314 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 0 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10345071,-12807336134] |
[a1,a2,a3,a4,a6] |
Generators |
[13432845252198572931311374139245776326020981666586:7919039380365727526155289921078656767276804046008246:38647526680780947301991464277527685118123421] |
Generators of the group modulo torsion |
j |
-656079768197791284688/18325925495937 |
j-invariant |
L |
6.614471560013 |
L(r)(E,1)/r! |
Ω |
0.042090633496072 |
Real period |
R |
78.574150714912 |
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 |
29412g1 39216v1 |
Quadratic twists by: -4 -3 |