Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200h |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-2.1602001712E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-654133,735657363] |
[a1,a2,a3,a4,a6] |
Generators |
[486916414:153283756075:4913] |
Generators of the group modulo torsion |
j |
-120915670441984/843828191875 |
j-invariant |
L |
4.7505335927489 |
L(r)(E,1)/r! |
Ω |
0.15259436972389 |
Real period |
R |
15.565887570545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cn1 6700e1 21440o1 |
Quadratic twists by: -4 8 5 |