Atkin-Lehner |
2+ 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950a |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61286400 |
Modular degree for the optimal curve |
Δ |
-5.378326659072E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,186313625,11114939747125] |
[a1,a2,a3,a4,a6] |
Generators |
[5485074200518:1241325993780253:138188413] |
Generators of the group modulo torsion |
j |
45775967244877147181665679/3442129061806080000000000 |
j-invariant |
L |
3.5363275823805 |
L(r)(E,1)/r! |
Ω |
0.02706520450179 |
Real period |
R |
16.332444403601 |
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 |
14790bd1 |
Quadratic twists by: 5 |