Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20202d |
Isogeny class |
Conductor |
20202 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
1321517223936 = 212 · 34 · 72 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-83175,9225706] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:3372:1] |
Generators of the group modulo torsion |
j |
63634792878574486633/1321517223936 |
j-invariant |
L |
5.1662861782276 |
L(r)(E,1)/r! |
Ω |
0.79149361293549 |
Real period |
R |
1.6318154985063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606bg1 |
Quadratic twists by: -3 |