Atkin-Lehner |
2+ 3+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990g |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
62023864320 = 212 · 35 · 5 · 112 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2372,-43824] |
[a1,a2,a3,a4,a6] |
Generators |
[1576:61772:1] |
Generators of the group modulo torsion |
j |
1476909269376841/62023864320 |
j-invariant |
L |
3.6356552595646 |
L(r)(E,1)/r! |
Ω |
0.6858381945938 |
Real period |
R |
5.3010393533384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970bo1 |
Quadratic twists by: -3 |