Atkin-Lehner |
3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475n |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-36232704255234375 = -1 · 35 · 57 · 72 · 794 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21001,9231023] |
[a1,a2,a3,a4,a6] |
Generators |
[73:2807:1] |
Generators of the group modulo torsion |
j |
-65553197996161/2318893072335 |
j-invariant |
L |
7.3407467900295 |
L(r)(E,1)/r! |
Ω |
0.30504212712183 |
Real period |
R |
1.2032349202539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425j1 8295c1 |
Quadratic twists by: -3 5 |