Atkin-Lehner |
2- 3+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652d |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-120301551216 = -1 · 24 · 39 · 7 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20817,-1156167] |
[a1,a2,a3,a4,a6] |
Generators |
[168:297:1] |
Generators of the group modulo torsion |
j |
-3167866444032/381997 |
j-invariant |
L |
8.1563596349476 |
L(r)(E,1)/r! |
Ω |
0.19872929027442 |
Real period |
R |
2.2801424536382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113652c1 |
Quadratic twists by: -3 |