Atkin-Lehner |
2- 3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050bv |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-37863922500000 = -1 · 25 · 33 · 57 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19588,1087781] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:397:1] [-95:1497:1] |
Generators of the group modulo torsion |
j |
-53195556657529/2423291040 |
j-invariant |
L |
13.31723700225 |
L(r)(E,1)/r! |
Ω |
0.64246494271545 |
Real period |
R |
0.34547246905915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010h1 |
Quadratic twists by: 5 |