Atkin-Lehner |
3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
735c |
Isogeny class |
Conductor |
735 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2296875 = -1 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-205,1203] |
[a1,a2,a3,a4,a6] |
Generators |
[9:2:1] |
Generators of the group modulo torsion |
j |
-19539165184/46875 |
j-invariant |
L |
1.7905882921082 |
L(r)(E,1)/r! |
Ω |
2.5974756723495 |
Real period |
R |
0.11489284969822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11760cn2 47040cc2 2205f2 3675i2 |
Quadratic twists by: -4 8 -3 5 |