Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230f |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1537536 |
Modular degree for the optimal curve |
Δ |
-4741506250000000 = -1 · 27 · 511 · 132 · 672 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 -5 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-330853,-73461747] |
[a1,a2,a3,a4,a6] |
Generators |
[8094:196551:8] [87837:25988229:1] |
Generators of the group modulo torsion |
j |
-23699778625525514161/28056250000000 |
j-invariant |
L |
11.328354423228 |
L(r)(E,1)/r! |
Ω |
0.099524451868446 |
Real period |
R |
56.912418055322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113230t1 |
Quadratic twists by: 13 |