Atkin-Lehner |
3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005g |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-84058878735 = -1 · 34 · 5 · 136 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,250,13970] |
[a1,a2,a3,a4,a6] |
Generators |
[60:469:1] |
Generators of the group modulo torsion |
j |
357911/17415 |
j-invariant |
L |
2.6801076351166 |
L(r)(E,1)/r! |
Ω |
0.81950389972624 |
Real period |
R |
3.2704025107933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
645a1 |
Quadratic twists by: 13 |