Atkin-Lehner |
2+ 3- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274s |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
315011788798896 = 24 · 312 · 72 · 293 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57015,-5155731] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:189:1] |
Generators of the group modulo torsion |
j |
28116927072163441/432114936624 |
j-invariant |
L |
4.6086564055463 |
L(r)(E,1)/r! |
Ω |
0.30924759904857 |
Real period |
R |
1.8628505425317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998789935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37758w1 |
Quadratic twists by: -3 |