Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100o |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-639484966010195200 = -1 · 28 · 52 · 79 · 195 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,151492,31118548] |
[a1,a2,a3,a4,a6] |
Generators |
[18861173:768894182:12167] |
Generators of the group modulo torsion |
j |
1488770000/2476099 |
j-invariant |
L |
4.2759543956656 |
L(r)(E,1)/r! |
Ω |
0.19702531594284 |
Real period |
R |
10.851281650229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93100bp1 93100bb1 |
Quadratic twists by: 5 -7 |