Atkin-Lehner |
2+ 3+ 7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
113526d |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-38583400464 = -1 · 24 · 33 · 73 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12678,552708] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:930:1] |
Generators of the group modulo torsion |
j |
-8347020094101051/1429014832 |
j-invariant |
L |
7.0885577451664 |
L(r)(E,1)/r! |
Ω |
1.1156652837368 |
Real period |
R |
1.5884149667289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009842 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113526v2 |
Quadratic twists by: -3 |