Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
66700d |
Isogeny class |
Conductor |
66700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20217600 |
Modular degree for the optimal curve |
Δ |
1.1860883502447E+25 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-183600200,943096474125] |
[a1,a2,a3,a4,a6] |
Generators |
[6479:159758:1] |
Generators of the group modulo torsion |
j |
2737809040961484623314944/47443534009788453125 |
j-invariant |
L |
1.9834156302052 |
L(r)(E,1)/r! |
Ω |
0.071552648286453 |
Real period |
R |
4.6199446093438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13340a1 |
Quadratic twists by: 5 |