Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330m |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
22963035342540800 = 212 · 52 · 13 · 297 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-147192,20415296] |
[a1,a2,a3,a4,a6] |
Generators |
[437:-6526:1] |
Generators of the group modulo torsion |
j |
592915705201/38604800 |
j-invariant |
L |
6.5348371982964 |
L(r)(E,1)/r! |
Ω |
0.37349589377831 |
Real period |
R |
1.0935256082469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000046216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3770g1 |
Quadratic twists by: 29 |