Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554s |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7268352 |
Modular degree for the optimal curve |
Δ |
-7436914201286154 = -1 · 2 · 36 · 1310 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82046828,-286028732375] |
[a1,a2,a3,a4,a6] |
Generators |
[2819191116948388795825498747378357224025672:-1869654374024386211971141680864711470103652153:6416809617155452709043842902211650048] |
Generators of the group modulo torsion |
j |
-607782291676209/74 |
j-invariant |
L |
6.8630686791814 |
L(r)(E,1)/r! |
Ω |
0.02508153491776 |
Real period |
R |
68.407582527193 |
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 |
12506a1 112554f1 |
Quadratic twists by: -3 13 |