Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300bf |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18144000 |
Modular degree for the optimal curve |
Δ |
1.592276226315E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92400958,-336406801463] |
[a1,a2,a3,a4,a6] |
j |
296723207944960/5415228513 |
j-invariant |
L |
0.87747348559559 |
L(r)(E,1)/r! |
Ω |
0.048748536496436 |
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 |
108300bx1 5700r1 |
Quadratic twists by: 5 -19 |