Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800a |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-805876012656000000 = -1 · 210 · 37 · 56 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,148192,37143612] |
[a1,a2,a3,a4,a6] |
Generators |
[3042:169200:1] |
Generators of the group modulo torsion |
j |
22494434350748/50367250791 |
j-invariant |
L |
4.2828069053826 |
L(r)(E,1)/r! |
Ω |
0.19647658442406 |
Real period |
R |
5.4495131242705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3432h1 |
Quadratic twists by: 5 |