Atkin-Lehner |
3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325bc |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-1289088626049675 = -1 · 313 · 52 · 114 · 472 |
Discriminant |
Eigenvalues |
-2 3- 5+ -5 11- -7 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-162435,25257226] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1336:1] [-281:6979:1] |
Generators of the group modulo torsion |
j |
-26007284793118720/70731886203 |
j-invariant |
L |
4.7291586747256 |
L(r)(E,1)/r! |
Ω |
0.48502685298389 |
Real period |
R |
0.30469696218674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999933681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38775a1 116325bh1 |
Quadratic twists by: -3 5 |