Atkin-Lehner |
2+ 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050b |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-2038076235000000 = -1 · 26 · 312 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25350,-1507500] |
[a1,a2,a3,a4,a6] |
Generators |
[1740:72030:1] |
Generators of the group modulo torsion |
j |
115295088815711/130436879040 |
j-invariant |
L |
4.6545430195767 |
L(r)(E,1)/r! |
Ω |
0.25081781076251 |
Real period |
R |
1.1598416354125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999621244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010r1 |
Quadratic twists by: 5 |