Atkin-Lehner |
5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22475d |
Isogeny class |
Conductor |
22475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-8436904296875 = -1 · 510 · 29 · 313 |
Discriminant |
Eigenvalues |
-2 -3 5+ -1 3 -2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1075,140406] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:312:1] [-10:387:1] |
Generators of the group modulo torsion |
j |
-8792838144/539961875 |
j-invariant |
L |
2.610353114592 |
L(r)(E,1)/r! |
Ω |
0.60774609600359 |
Real period |
R |
0.35792813421007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4495b1 |
Quadratic twists by: 5 |