Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ce |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
1232 |
Product of Tamagawa factors cp |
deg |
98402304 |
Modular degree for the optimal curve |
Δ |
-1.968782484375E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1543833025,24304836450625] |
[a1,a2,a3,a4,a6] |
Generators |
[-25575:6860000:1] |
Generators of the group modulo torsion |
j |
-6209330302768171611865194436/300412366390228271484375 |
j-invariant |
L |
7.0401594075527 |
L(r)(E,1)/r! |
Ω |
0.038115311910559 |
Real period |
R |
0.59969758227485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jr1 14280q1 |
Quadratic twists by: -4 8 |