Atkin-Lehner |
3- 5+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118575m |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
11724334716796875 = 36 · 515 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 6 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202730,34796022] |
[a1,a2,a3,a4,a6] |
Generators |
[198:1446:1] |
Generators of the group modulo torsion |
j |
80896216567249/1029296875 |
j-invariant |
L |
4.3985471579569 |
L(r)(E,1)/r! |
Ω |
0.40360774966593 |
Real period |
R |
5.4490369767273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13175a1 23715h1 |
Quadratic twists by: -3 5 |