Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360f |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
152917930667250000 = 24 · 39 · 56 · 75 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-199638,-28719063] |
[a1,a2,a3,a4,a6] |
Generators |
[-296:2107:1] |
Generators of the group modulo torsion |
j |
2794100790417408/485564734375 |
j-invariant |
L |
6.1877412828773 |
L(r)(E,1)/r! |
Ω |
0.22854320341771 |
Real period |
R |
1.3537355656007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108360bb1 |
Quadratic twists by: -3 |