Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525cb |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2515968 |
Modular degree for the optimal curve |
Δ |
-7136109793501171875 = -1 · 39 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -3 -2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-277258,-140364731] |
[a1,a2,a3,a4,a6] |
Generators |
[13162:497003:8] |
Generators of the group modulo torsion |
j |
-3738308608/11317725 |
j-invariant |
L |
15.12251054102 |
L(r)(E,1)/r! |
Ω |
0.096122018843134 |
Real period |
R |
4.3701718130573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905r1 84525p1 |
Quadratic twists by: 5 -7 |