Atkin-Lehner |
3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475d |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
1111400390625 = 3 · 59 · 74 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15838,758906] |
[a1,a2,a3,a4,a6] |
j |
28119423707929/71129625 |
j-invariant |
L |
0.8729000619292 |
L(r)(E,1)/r! |
Ω |
0.87290006183155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124425m1 8295d1 |
Quadratic twists by: -3 5 |