Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200v |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
3135326126080000000 = 239 · 57 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -3 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-759008,-239583488] |
[a1,a2,a3,a4,a6] |
Generators |
[1808:-65536:1] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
4.3594237885649 |
L(r)(E,1)/r! |
Ω |
0.16240573579848 |
Real period |
R |
1.6776746550589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3650o1 116800ch1 5840i1 |
Quadratic twists by: -4 8 5 |