Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90354o |
Isogeny class |
Conductor |
90354 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-1753060602649488 = -1 · 24 · 3 · 117 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 11- 2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6132,2008509] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1347:1] |
Generators of the group modulo torsion |
j |
13605635375/935384208 |
j-invariant |
L |
6.6781159024257 |
L(r)(E,1)/r! |
Ω |
0.35957768320057 |
Real period |
R |
0.66328960523744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90354d1 |
Quadratic twists by: 37 |