Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850bv |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
13073445000000000 = 29 · 32 · 510 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-169076,26173298] |
[a1,a2,a3,a4,a6] |
Generators |
[176:1281:1] |
Generators of the group modulo torsion |
j |
22796790625/557568 |
j-invariant |
L |
6.7670796000445 |
L(r)(E,1)/r! |
Ω |
0.39779123061987 |
Real period |
R |
4.2529089856599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850ex1 80850x1 |
Quadratic twists by: 5 -7 |