Atkin-Lehner |
3- 11+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
108537l |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
310080 |
Modular degree for the optimal curve |
Δ |
-51393781528947 = -1 · 317 · 113 · 13 · 23 |
Discriminant |
Eigenvalues |
0 3- 4 2 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7539,-233062] |
[a1,a2,a3,a4,a6] |
Generators |
[348:6682:1] |
Generators of the group modulo torsion |
j |
35598301659136/38612908737 |
j-invariant |
L |
10.509680565178 |
L(r)(E,1)/r! |
Ω |
0.34188188471191 |
Real period |
R |
0.90413755833457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108537m1 |
Quadratic twists by: -11 |