Atkin-Lehner |
5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225d |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-18354861559953125 = -1 · 56 · 537 |
Discriminant |
Eigenvalues |
-1 -3 5+ 4 0 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21945,6391572] |
[a1,a2,a3,a4,a6] |
Generators |
[-3372:36785:27] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
3.0045522668037 |
L(r)(E,1)/r! |
Ω |
0.28795950057967 |
Real period |
R |
1.3042425504247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2809a1 1325c1 |
Quadratic twists by: 5 53 |