Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cg |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-73800000000 = -1 · 29 · 32 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,-70088] |
[a1,a2,a3,a4,a6] |
j |
-18261320/369 |
j-invariant |
L |
0.63359218551207 |
L(r)(E,1)/r! |
Ω |
0.31679605030774 |
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 |
98400bn1 98400x1 |
Quadratic twists by: -4 5 |