Atkin-Lehner |
2+ 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554a |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179520 |
Modular degree for the optimal curve |
Δ |
-154303430112 = -1 · 25 · 33 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4341,112789] |
[a1,a2,a3,a4,a6] |
Generators |
[65:287:1] |
Generators of the group modulo torsion |
j |
-69426531/1184 |
j-invariant |
L |
7.2506589986516 |
L(r)(E,1)/r! |
Ω |
1.0278787759069 |
Real period |
R |
3.5270010108332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112554o1 666d1 |
Quadratic twists by: -3 13 |