Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
32200k |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-17535083441750000 = -1 · 24 · 56 · 78 · 233 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210475,37708375] |
[a1,a2,a3,a4,a6] |
Generators |
[395:4025:1] |
Generators of the group modulo torsion |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
3.6178746276347 |
L(r)(E,1)/r! |
Ω |
0.38963402751635 |
Real period |
R |
0.096722029844482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400f1 1288g1 |
Quadratic twists by: -4 5 |