Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200cc |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
149590800000000 = 210 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5982833,5634588537] |
[a1,a2,a3,a4,a6] |
Generators |
[1192:13975:1] |
Generators of the group modulo torsion |
j |
59208551269469440/373977 |
j-invariant |
L |
4.7212730642515 |
L(r)(E,1)/r! |
Ω |
0.39619484121324 |
Real period |
R |
3.9721811641375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200is1 11400o1 91200dr1 |
Quadratic twists by: -4 8 5 |