Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870b |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1559040 |
Modular degree for the optimal curve |
Δ |
-1.3193378836294E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -3 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3669020,-2709759280] |
[a1,a2,a3,a4,a6] |
j |
-12983567409/31360 |
j-invariant |
L |
0.98161615253171 |
L(r)(E,1)/r! |
Ω |
0.05453423069792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870o1 |
Quadratic twists by: 29 |