Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
84280i |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
766752 |
Modular degree for the optimal curve |
Δ |
-309858053750000 = -1 · 24 · 57 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -1 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2342347,-1379828289] |
[a1,a2,a3,a4,a6] |
Generators |
[2107:55125:1] |
Generators of the group modulo torsion |
j |
-15408952189214976/3359375 |
j-invariant |
L |
5.902212299712 |
L(r)(E,1)/r! |
Ω |
0.061017828108843 |
Real period |
R |
2.3030787648173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280g1 |
Quadratic twists by: -7 |