Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658o |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
197698388557824 = 216 · 32 · 77 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30356,-1932720] |
[a1,a2,a3,a4,a6] |
Generators |
[2184:100668:1] |
Generators of the group modulo torsion |
j |
26296107018553/1680408576 |
j-invariant |
L |
3.6031405193619 |
L(r)(E,1)/r! |
Ω |
0.36313950870902 |
Real period |
R |
4.9610968865223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998537465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094j1 |
Quadratic twists by: -7 |