Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465d |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-35536464755859375 = -1 · 39 · 510 · 75 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,75868,4172014] |
[a1,a2,a3,a4,a6] |
Generators |
[82:3266:1] |
Generators of the group modulo torsion |
j |
2453656100384133/1805439453125 |
j-invariant |
L |
2.4285798916129 |
L(r)(E,1)/r! |
Ω |
0.23379001796021 |
Real period |
R |
0.41551472775475 |
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 |
55440cj1 3465b1 17325a1 24255g1 |
Quadratic twists by: -4 -3 5 -7 |