Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810r |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
452026580932362240 = 217 · 37 · 5 · 72 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-443342,108734004] |
[a1,a2,a3,a4,a6] |
Generators |
[2183735:70873441:12167] |
Generators of the group modulo torsion |
j |
196673474890182710329/9225032263925760 |
j-invariant |
L |
3.6639194404976 |
L(r)(E,1)/r! |
Ω |
0.29329532811966 |
Real period |
R |
12.49225299287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430ei1 33810y1 |
Quadratic twists by: -3 -7 |