Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200bz |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-7118280000000000 = -1 · 212 · 34 · 510 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-4059537] |
[a1,a2,a3,a4,a6] |
Generators |
[277:4128:1] |
Generators of the group modulo torsion |
j |
-1600/177957 |
j-invariant |
L |
6.8150897138394 |
L(r)(E,1)/r! |
Ω |
0.19164483560715 |
Real period |
R |
4.4451300319734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31200bh1 62400fb1 93600be1 31200m1 |
Quadratic twists by: -4 8 -3 5 |