Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780v |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-820920507750000 = -1 · 24 · 33 · 56 · 74 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23014,-299811] |
[a1,a2,a3,a4,a6] |
Generators |
[37:777:1] [109:1875:1] |
Generators of the group modulo torsion |
j |
35088841093376/21369234375 |
j-invariant |
L |
12.663402621845 |
L(r)(E,1)/r! |
Ω |
0.29107623969162 |
Real period |
R |
0.80565647061286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780u2 |
Quadratic twists by: -7 |