Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400ck |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-14707629675000000 = -1 · 26 · 315 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 1 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30958,6210412] |
[a1,a2,a3,a4,a6] |
j |
-131255170240/588305187 |
j-invariant |
L |
0.68662957967062 |
L(r)(E,1)/r! |
Ω |
0.34331494395353 |
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 |
98400bp1 98400bg1 |
Quadratic twists by: -4 5 |