Atkin-Lehner |
3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525v |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-2330691029296875 = -1 · 32 · 59 · 78 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -2 -2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33050,230875] |
[a1,a2,a3,a4,a6] |
Generators |
[62:5555:8] [10:745:1] |
Generators of the group modulo torsion |
j |
354571/207 |
j-invariant |
L |
10.688186991558 |
L(r)(E,1)/r! |
Ω |
0.27824867780098 |
Real period |
R |
3.2010295838608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525cv1 84525cy1 |
Quadratic twists by: 5 -7 |