Atkin-Lehner |
2+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350o |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
260640 |
Modular degree for the optimal curve |
Δ |
-92296806767000 = -1 · 23 · 53 · 113 · 375 |
Discriminant |
Eigenvalues |
2+ 3 5- -5 11- 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41722,-3302164] |
[a1,a2,a3,a4,a6] |
Generators |
[6393:2936:27] |
Generators of the group modulo torsion |
j |
-64256181058219437/738374454136 |
j-invariant |
L |
5.6734727273955 |
L(r)(E,1)/r! |
Ω |
0.16690929184157 |
Real period |
R |
5.6652255693279 |
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 |
20350bh1 |
Quadratic twists by: 5 |