Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490h |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-231259659403500000 = -1 · 25 · 34 · 56 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,150407,5652613] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-10058:1] [73:4090:1] |
Generators of the group modulo torsion |
j |
77958456780959/47911500000 |
j-invariant |
L |
5.6796416435306 |
L(r)(E,1)/r! |
Ω |
0.1935622224876 |
Real period |
R |
7.335679414269 |
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 |
106470fw2 2730u2 |
Quadratic twists by: -3 13 |