Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
95370dg |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1909440 |
Modular degree for the optimal curve |
Δ |
-115099997776500 = -1 · 22 · 3 · 53 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2762846,-1767826824] |
[a1,a2,a3,a4,a6] |
Generators |
[69831280570928367995497524:5513217225214635944223161400:10330743341335668631073] |
Generators of the group modulo torsion |
j |
-334350814467169/16500 |
j-invariant |
L |
13.567395387544 |
L(r)(E,1)/r! |
Ω |
0.058550470235452 |
Real period |
R |
38.620228932362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370cm1 |
Quadratic twists by: 17 |