Atkin-Lehner |
2+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4930c |
Isogeny class |
Conductor |
4930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
1892272656250000 = 24 · 511 · 174 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -6 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29499940,61678208256] |
[a1,a2,a3,a4,a6] |
j |
2839142026487686715303377689/1892272656250000 |
j-invariant |
L |
0.57812530773126 |
L(r)(E,1)/r! |
Ω |
0.28906265386563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39440h1 44370bo1 24650v1 83810o1 |
Quadratic twists by: -4 -3 5 17 |