Atkin-Lehner |
2+ 3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954r |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1271808 |
Modular degree for the optimal curve |
Δ |
-66501959216222208 = -1 · 212 · 3 · 712 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2963,12407336] |
[a1,a2,a3,a4,a6] |
Generators |
[867:25390:1] |
Generators of the group modulo torsion |
j |
24464768327/565257326592 |
j-invariant |
L |
5.3368465629053 |
L(r)(E,1)/r! |
Ω |
0.27490207151976 |
Real period |
R |
4.8534070161616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16422g1 |
Quadratic twists by: -7 |