Atkin-Lehner |
2+ 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150f |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
812160 |
Modular degree for the optimal curve |
Δ |
-31512695312500000 = -1 · 25 · 515 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 -3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52599,-7164052] |
[a1,a2,a3,a4,a6] |
Generators |
[2926:61033:8] |
Generators of the group modulo torsion |
j |
1030025597542271/2016812500000 |
j-invariant |
L |
3.7284522944706 |
L(r)(E,1)/r! |
Ω |
0.19335120226129 |
Real period |
R |
2.4104144754335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14030c1 |
Quadratic twists by: 5 |