Atkin-Lehner |
5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675s |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-186905657421875 = -1 · 58 · 78 · 83 |
Discriminant |
Eigenvalues |
0 1 5- 7+ -3 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-72058583,-235462091756] |
[a1,a2,a3,a4,a6] |
Generators |
[27493138629672885105830840092284747618656934:15906139656860421814548814289694659238446447963:82084829829017026197046388700070568376] |
Generators of the group modulo torsion |
j |
-18375387926855680/83 |
j-invariant |
L |
5.5136699691947 |
L(r)(E,1)/r! |
Ω |
0.025908849549077 |
Real period |
R |
70.936765688889 |
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 |
101675a2 101675w2 |
Quadratic twists by: 5 -7 |