Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35322c |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
1163272042706436096 = 216 · 3 · 73 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-594604,-168924080] |
[a1,a2,a3,a4,a6] |
Generators |
[-293438534460435:1906685549807810:718600843493] |
Generators of the group modulo torsion |
j |
39085920587953/1955659776 |
j-invariant |
L |
4.1905684996552 |
L(r)(E,1)/r! |
Ω |
0.1724605130828 |
Real period |
R |
24.298712932869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966bw1 1218g1 |
Quadratic twists by: -3 29 |