Atkin-Lehner |
2- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46144o |
Isogeny class |
Conductor |
46144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
49546742726656 = 236 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 2 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11884,-366000] |
[a1,a2,a3,a4,a6] |
Generators |
[197931844950:-31991857152:1622234375] |
Generators of the group modulo torsion |
j |
708062704497/189005824 |
j-invariant |
L |
6.5935036573469 |
L(r)(E,1)/r! |
Ω |
0.46636377614881 |
Real period |
R |
14.138112766395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46144e1 11536f1 |
Quadratic twists by: -4 8 |