Atkin-Lehner |
3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175c |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
3980390625 = 34 · 57 · 17 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1713,26406] |
[a1,a2,a3,a4,a6] |
Generators |
[16:50:1] [-250:1921:8] |
Generators of the group modulo torsion |
j |
35578826569/254745 |
j-invariant |
L |
5.4674026760996 |
L(r)(E,1)/r! |
Ω |
1.3991959840216 |
Real period |
R |
3.9075317100212 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9435g1 |
Quadratic twists by: 5 |