Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
122760bb |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
6781507920 = 24 · 36 · 5 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14382,663849] |
[a1,a2,a3,a4,a6] |
Generators |
[105:558:1] |
Generators of the group modulo torsion |
j |
28205516335104/581405 |
j-invariant |
L |
6.6285293219219 |
L(r)(E,1)/r! |
Ω |
1.2279280439489 |
Real period |
R |
1.3495353533853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640e1 |
Quadratic twists by: -3 |