Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100f |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-4.9344919632422E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2058033,-1559320938] |
[a1,a2,a3,a4,a6] |
Generators |
[16843116:-1643271875:1728] |
Generators of the group modulo torsion |
j |
-3856034557002072064/1973796785296875 |
j-invariant |
L |
4.3115205969274 |
L(r)(E,1)/r! |
Ω |
0.061537029095896 |
Real period |
R |
8.7579800736898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400gi1 69300bx1 4620h1 |
Quadratic twists by: -4 -3 5 |