Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3400d |
Isogeny class |
Conductor |
3400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
42500000000 = 28 · 510 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88508,-10164512] |
[a1,a2,a3,a4,a6] |
Generators |
[143304:1747600:343] |
Generators of the group modulo torsion |
j |
19169739408976/10625 |
j-invariant |
L |
2.2058042202164 |
L(r)(E,1)/r! |
Ω |
0.27679199661147 |
Real period |
R |
7.9691763028563 |
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 |
6800c1 27200k1 30600cj1 680c1 |
Quadratic twists by: -4 8 -3 5 |