Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4290i |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-28814396538470400 = -1 · 214 · 37 · 52 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,74288,-2411264] |
[a1,a2,a3,a4,a6] |
Generators |
[87:2129:1] |
Generators of the group modulo torsion |
j |
45338857965533777399/28814396538470400 |
j-invariant |
L |
2.689260818479 |
L(r)(E,1)/r! |
Ω |
0.21417233658478 |
Real period |
R |
3.1391318568055 |
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 |
34320cb1 12870bm1 21450cs1 47190ce1 |
Quadratic twists by: -4 -3 5 -11 |