Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bs |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
42195431250000 = 24 · 39 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1147883,472980738] |
[a1,a2,a3,a4,a6] |
Generators |
[613:-225:1] |
Generators of the group modulo torsion |
j |
1950665639360512/492075 |
j-invariant |
L |
6.8751535166038 |
L(r)(E,1)/r! |
Ω |
0.51303682889405 |
Real period |
R |
0.37224712889329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800bg1 88200hc1 5880y1 29400m1 |
Quadratic twists by: -4 -3 5 -7 |