Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800cd |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
378233856 |
Modular degree for the optimal curve |
Δ |
-1.1425635574213E+34 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 0 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32684120592,-4612565215450688] |
[a1,a2,a3,a4,a6] |
j |
60332893035582377081137649111/178525555847085424640000000 |
j-invariant |
L |
1.1500044393099 |
L(r)(E,1)/r! |
Ω |
0.006534116427298 |
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 |
12350p1 19760n1 |
Quadratic twists by: -4 5 |