Atkin-Lehner |
2+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
59360c |
Isogeny class |
Conductor |
59360 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
478464 |
Modular degree for the optimal curve |
Δ |
-47377045237760 = -1 · 212 · 5 · 77 · 532 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1539181,735505445] |
[a1,a2,a3,a4,a6] |
Generators |
[-305:34300:1] [479:10388:1] |
Generators of the group modulo torsion |
j |
-98453946048618525184/11566661435 |
j-invariant |
L |
7.7123652771631 |
L(r)(E,1)/r! |
Ω |
0.49324566052141 |
Real period |
R |
0.558426843027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59360a1 118720bc1 |
Quadratic twists by: -4 8 |