Atkin-Lehner |
3+ 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120099c |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
5468127046137 = 33 · 78 · 19 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26363,1632728] |
[a1,a2,a3,a4,a6] |
Generators |
[104:119:1] [1126:6293:8] |
Generators of the group modulo torsion |
j |
17223483390625/46478313 |
j-invariant |
L |
5.5211789094647 |
L(r)(E,1)/r! |
Ω |
0.76463826473462 |
Real period |
R |
3.6103208310747 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157i1 |
Quadratic twists by: -7 |