Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650n |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-119027699218750 = -1 · 2 · 59 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7376,578148] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-629:1] |
Generators of the group modulo torsion |
j |
-24137569/64750 |
j-invariant |
L |
3.1873986864606 |
L(r)(E,1)/r! |
Ω |
0.52039098140767 |
Real period |
R |
0.76562594442161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18130r1 12950e1 |
Quadratic twists by: 5 -7 |