Atkin-Lehner |
5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225c |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2021760 |
Modular degree for the optimal curve |
Δ |
2294357694994140625 = 59 · 537 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9669105,11574696272] |
[a1,a2,a3,a4,a6] |
Generators |
[2231864256238:-301733811090:1235376017] |
Generators of the group modulo torsion |
j |
288673724529/6625 |
j-invariant |
L |
3.3626955562236 |
L(r)(E,1)/r! |
Ω |
0.23968346875683 |
Real period |
R |
14.029735026992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976656 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14045c1 1325b1 |
Quadratic twists by: 5 53 |