Atkin-Lehner |
2+ 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910b |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-73972237500000 = -1 · 25 · 35 · 58 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29148,-1971792] |
[a1,a2,a3,a4,a6] |
Generators |
[239:2068:1] |
Generators of the group modulo torsion |
j |
-2738881705631423689/73972237500000 |
j-invariant |
L |
2.8515310885209 |
L(r)(E,1)/r! |
Ω |
0.18239939353356 |
Real period |
R |
2.6055743509514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280by1 44730ce1 74550dd1 104370by1 |
Quadratic twists by: -4 -3 5 -7 |