Atkin-Lehner |
2+ 5- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850i |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
102240 |
Modular degree for the optimal curve |
Δ |
6029182812500 = 22 · 58 · 17 · 613 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4576,-15702] |
[a1,a2,a3,a4,a6] |
Generators |
[77:261:1] |
Generators of the group modulo torsion |
j |
27119725465/15434708 |
j-invariant |
L |
2.7370408388143 |
L(r)(E,1)/r! |
Ω |
0.62747760153609 |
Real period |
R |
2.1809868847156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51850v1 |
Quadratic twists by: 5 |