Atkin-Lehner |
2+ 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
10790c |
Isogeny class |
Conductor |
10790 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26000 |
Modular degree for the optimal curve |
Δ |
-157784673280 = -1 · 210 · 5 · 135 · 83 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 -2 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1228,10064] |
[a1,a2,a3,a4,a6] |
Generators |
[120:3316:27] |
Generators of the group modulo torsion |
j |
204534277765559/157784673280 |
j-invariant |
L |
5.5127701492279 |
L(r)(E,1)/r! |
Ω |
0.65696683923396 |
Real period |
R |
4.1956228381754 |
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 |
86320v1 97110bw1 53950w1 |
Quadratic twists by: -4 -3 5 |