Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dh |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4934293422080000 = -1 · 218 · 54 · 116 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30392,2684912] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-2662:1] |
Generators of the group modulo torsion |
j |
1212683025575/1927458368 |
j-invariant |
L |
4.7609628205031 |
L(r)(E,1)/r! |
Ω |
0.29469267055029 |
Real period |
R |
1.3463073272382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001597 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350i2 74800bt2 |
Quadratic twists by: -4 5 |