Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780be |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
250560 |
Modular degree for the optimal curve |
Δ |
-10405827356400 = -1 · 24 · 315 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13246,-611395] |
[a1,a2,a3,a4,a6] |
Generators |
[137:405:1] |
Generators of the group modulo torsion |
j |
-327864720929536/13272738975 |
j-invariant |
L |
8.605318515225 |
L(r)(E,1)/r! |
Ω |
0.22198150867 |
Real period |
R |
1.2921975041922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780n1 |
Quadratic twists by: -7 |