Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768du |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
5345280 |
Modular degree for the optimal curve |
Δ |
-3.6622278546583E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -5 5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9314321,10942219983] |
[a1,a2,a3,a4,a6] |
Generators |
[1861:-7548:1] |
Generators of the group modulo torsion |
j |
-5454531100825187584336/2235246493321701 |
j-invariant |
L |
6.3928841483109 |
L(r)(E,1)/r! |
Ω |
0.20228896181448 |
Real period |
R |
0.1316780558102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768r1 30192p1 |
Quadratic twists by: -4 8 |