Atkin-Lehner |
2+ 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910c |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-24547824000000 = -1 · 210 · 32 · 56 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-448,-238592] |
[a1,a2,a3,a4,a6] |
Generators |
[96:736:1] |
Generators of the group modulo torsion |
j |
-9978645018889/24547824000000 |
j-invariant |
L |
3.0797568570839 |
L(r)(E,1)/r! |
Ω |
0.30473935085219 |
Real period |
R |
1.2632750121011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280bz1 44730cg1 74550de1 104370bz1 |
Quadratic twists by: -4 -3 5 -7 |