Atkin-Lehner |
2- 3+ 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270r |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-420741052380 = -1 · 22 · 39 · 5 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1973,46441] |
[a1,a2,a3,a4,a6] |
Generators |
[-2936:124027:512] |
Generators of the group modulo torsion |
j |
-43132764843/21375860 |
j-invariant |
L |
10.201215466281 |
L(r)(E,1)/r! |
Ω |
0.87975461071117 |
Real period |
R |
5.7977618647845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72270h1 |
Quadratic twists by: -3 |