Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bm |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-9558593017711920 = -1 · 24 · 313 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32928,4103309] |
[a1,a2,a3,a4,a6] |
Generators |
[2695:140238:1] |
Generators of the group modulo torsion |
j |
58720256/142155 |
j-invariant |
L |
7.2744508472374 |
L(r)(E,1)/r! |
Ω |
0.28543015212624 |
Real period |
R |
4.2476538216024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999839988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220c1 114660u1 |
Quadratic twists by: -3 -7 |