Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975y |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
2148709728515625 = 33 · 59 · 116 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57076,4746173] |
[a1,a2,a3,a4,a6] |
Generators |
[211:1346:1] |
Generators of the group modulo torsion |
j |
10527938102213/1100139381 |
j-invariant |
L |
5.9731376713556 |
L(r)(E,1)/r! |
Ω |
0.44952374673064 |
Real period |
R |
1.4764113538181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56925bb1 18975k1 |
Quadratic twists by: -3 5 |