Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300o |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-62168750000 = -1 · 24 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-11912] |
[a1,a2,a3,a4,a6] |
j |
81920/9947 |
j-invariant |
L |
1.5725604973163 |
L(r)(E,1)/r! |
Ω |
0.52418683243878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81200cb1 20300b1 |
Quadratic twists by: -4 5 |