Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768r |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
120 |
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 |
[4429:186184:1] |
Generators of the group modulo torsion |
j |
-5454531100825187584336/2235246493321701 |
j-invariant |
L |
5.8208368104155 |
L(r)(E,1)/r! |
Ω |
0.043208687984084 |
Real period |
R |
1.1226208280801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768du1 7548g1 |
Quadratic twists by: -4 8 |