Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240db |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
251841623040 = 210 · 310 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2381,-38445] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:84:1] |
Generators of the group modulo torsion |
j |
1458425767936/245939085 |
j-invariant |
L |
7.0305144565972 |
L(r)(E,1)/r! |
Ω |
0.69127557333286 |
Real period |
R |
1.0170349884588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ge1 14280bi1 |
Quadratic twists by: -4 8 |