Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810bp |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-249378232320000 = -1 · 214 · 32 · 54 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8402,700256] |
[a1,a2,a3,a4,a6] |
j |
557644990391/2119680000 |
j-invariant |
L |
3.1566682182475 |
L(r)(E,1)/r! |
Ω |
0.39458352728104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430el1 690a1 |
Quadratic twists by: -3 -7 |