Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970by |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-4714073579250 = -1 · 2 · 310 · 53 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-78692,8516841] |
[a1,a2,a3,a4,a6] |
j |
-73923540638379769/6466493250 |
j-invariant |
L |
4.4237699574148 |
L(r)(E,1)/r! |
Ω |
0.73729499290247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760fk1 3990b1 59850by1 83790eh1 |
Quadratic twists by: -4 -3 5 -7 |