Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968x |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1108024589312 = -1 · 210 · 196 · 23 |
Discriminant |
Eigenvalues |
2+ -3 2 -4 4 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12244,-523928] |
[a1,a2,a3,a4,a6] |
Generators |
[421:8303:1] |
Generators of the group modulo torsion |
j |
-198241108860672/1082055263 |
j-invariant |
L |
3.0735723794357 |
L(r)(E,1)/r! |
Ω |
0.22685428534899 |
Real period |
R |
2.2581105860585 |
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 |
27968bi1 1748e1 |
Quadratic twists by: -4 8 |