Atkin-Lehner |
2+ 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768a |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1305600 |
Modular degree for the optimal curve |
Δ |
-406601338944356352 = -1 · 217 · 310 · 175 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -2 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,113087,26924353] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:4860:1] |
Generators of the group modulo torsion |
j |
1220247692086750/3102122031741 |
j-invariant |
L |
2.2928675015025 |
L(r)(E,1)/r! |
Ω |
0.20931489394031 |
Real period |
R |
2.7385383366924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000242132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768cy1 15096g1 |
Quadratic twists by: -4 8 |