Atkin-Lehner |
2+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72520b |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1443110869760 = -1 · 28 · 5 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2679,23099] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:98:1] [31:370:1] |
Generators of the group modulo torsion |
j |
70575104/47915 |
j-invariant |
L |
11.036956464009 |
L(r)(E,1)/r! |
Ω |
0.53644416738023 |
Real period |
R |
0.64294648068457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10360e1 |
Quadratic twists by: -7 |