Atkin-Lehner |
2+ 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450c |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-9828125000 = -1 · 23 · 59 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 -4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,308,4216] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:63:1] |
Generators of the group modulo torsion |
j |
206425071/629000 |
j-invariant |
L |
1.6197363942598 |
L(r)(E,1)/r! |
Ω |
0.91021249304801 |
Real period |
R |
0.44487864279796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290g1 |
Quadratic twists by: 5 |