Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650do |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
522991161000000 = 26 · 36 · 56 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-72830,7502797] |
[a1,a2,a3,a4,a6] |
Generators |
[239:-2045:1] |
Generators of the group modulo torsion |
j |
3750606459153/45914176 |
j-invariant |
L |
9.1189297697803 |
L(r)(E,1)/r! |
Ω |
0.52311741332537 |
Real period |
R |
0.36316455674727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3850f2 1386c2 |
Quadratic twists by: -3 5 |