Atkin-Lehner |
2+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
9394d |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
104843190589984 = 25 · 79 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12995,-288098] |
[a1,a2,a3,a4,a6] |
j |
242663535802176553/104843190589984 |
j-invariant |
L |
1.3951590961588 |
L(r)(E,1)/r! |
Ω |
0.46505303205293 |
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 |
75152f1 84546bu1 65758i1 103334z1 |
Quadratic twists by: -4 -3 -7 -11 |