Atkin-Lehner |
2- 3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113652t |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-34790015538432 = -1 · 28 · 316 · 7 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3417,-273170] |
[a1,a2,a3,a4,a6] |
Generators |
[449486490:11391487780:704969] |
Generators of the group modulo torsion |
j |
23642377904/186417693 |
j-invariant |
L |
10.053147664385 |
L(r)(E,1)/r! |
Ω |
0.32436907850318 |
Real period |
R |
15.496464247426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37884q1 |
Quadratic twists by: -3 |