Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300g |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
435181250000 = 24 · 58 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,-157738] |
[a1,a2,a3,a4,a6] |
Generators |
[4106:91875:8] |
Generators of the group modulo torsion |
j |
79082438656/1740725 |
j-invariant |
L |
7.3880257986283 |
L(r)(E,1)/r! |
Ω |
0.55181045486978 |
Real period |
R |
3.3471755262284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200ba1 4060e1 |
Quadratic twists by: -4 5 |