Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520bf |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
324179200 = 28 · 52 · 373 |
Discriminant |
Eigenvalues |
2- 3 5- 1 3 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-592,-5476] |
[a1,a2,a3,a4,a6] |
j |
1769472/25 |
j-invariant |
L |
7.7496232392613 |
L(r)(E,1)/r! |
Ω |
0.96870294826145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27380f1 109520r1 |
Quadratic twists by: -4 37 |