Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975f |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-356156811421875 = -1 · 313 · 56 · 17 · 292 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 5 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6808,-931107] |
[a1,a2,a3,a4,a6] |
Generators |
[2632393759699726:-19338836386126795:18079623134936] |
Generators of the group modulo torsion |
j |
-2233706549248/22794035931 |
j-invariant |
L |
10.983527903502 |
L(r)(E,1)/r! |
Ω |
0.22842462231109 |
Real period |
R |
24.041908863361 |
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 |
110925bo1 1479g1 |
Quadratic twists by: -3 5 |