Atkin-Lehner |
3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877h |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7177152733620093 = 34 · 73 · 172 · 197 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3626197897,-84049120508782] |
[a1,a2,a3,a4,a6] |
Generators |
[18950740602578901030:-6293755617186916557779:135242687637000] |
Generators of the group modulo torsion |
j |
112087352564301818387886553/152556453 |
j-invariant |
L |
3.7898862611486 |
L(r)(E,1)/r! |
Ω |
0.019455243880343 |
Real period |
R |
32.466707260489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783e3 |
Quadratic twists by: -19 |