Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430u |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6709248 |
Modular degree for the optimal curve |
Δ |
1449876275505000000 = 26 · 37 · 57 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49518135,134132672925] |
[a1,a2,a3,a4,a6] |
Generators |
[4041:405:1] |
Generators of the group modulo torsion |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
3.919890962091 |
L(r)(E,1)/r! |
Ω |
0.20787155515794 |
Real period |
R |
2.3571593062768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810dh1 14490w1 |
Quadratic twists by: -3 -7 |