Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576bc |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-5974456814759664 = -1 · 24 · 37 · 75 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115934,15680931] |
[a1,a2,a3,a4,a6] |
Generators |
[-380335:101982281:24389] |
Generators of the group modulo torsion |
j |
-10770600971507360512/373403550922479 |
j-invariant |
L |
7.729069499674 |
L(r)(E,1)/r! |
Ω |
0.42306313097309 |
Real period |
R |
9.1346526262561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644q1 |
Quadratic twists by: -4 |