Atkin-Lehner |
2+ 3+ 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274g |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
175636614662208 = 26 · 33 · 76 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51252,4433040] |
[a1,a2,a3,a4,a6] |
Generators |
[967:28815:1] |
Generators of the group modulo torsion |
j |
551438605013542875/6505059802304 |
j-invariant |
L |
6.0186705062498 |
L(r)(E,1)/r! |
Ω |
0.57302131067224 |
Real period |
R |
5.2516986546065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022618 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113274bi3 |
Quadratic twists by: -3 |