Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650ca |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-99460659375000 = -1 · 23 · 310 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -3 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1008,479416] |
[a1,a2,a3,a4,a6] |
j |
397535/349272 |
j-invariant |
L |
1.8696415047699 |
L(r)(E,1)/r! |
Ω |
0.46741037619153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550cb1 34650cu1 |
Quadratic twists by: -3 5 |