Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
59640h |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
-16234842960000000 = -1 · 210 · 34 · 57 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3725400,2768875452] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:63900:1] |
Generators of the group modulo torsion |
j |
-5583963910500403394404/15854338828125 |
j-invariant |
L |
6.0075709331283 |
L(r)(E,1)/r! |
Ω |
0.3403653728299 |
Real period |
R |
0.21012331832809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280o1 |
Quadratic twists by: -4 |