Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790n |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1195712886584160 = -1 · 25 · 33 · 5 · 79 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36024,-3104480] |
[a1,a2,a3,a4,a6] |
Generators |
[3089:169784:1] |
Generators of the group modulo torsion |
j |
-1627624771947/376421920 |
j-invariant |
L |
5.6372889590825 |
L(r)(E,1)/r! |
Ω |
0.17116786226588 |
Real period |
R |
4.1167840196355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83790ct2 11970f1 |
Quadratic twists by: -3 -7 |