Atkin-Lehner |
2+ 7+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88816d |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3663360 |
Modular degree for the optimal curve |
Δ |
-2118149792980818688 = -1 · 28 · 73 · 134 · 615 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ 2 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5582785,-5075824659] |
[a1,a2,a3,a4,a6] |
Generators |
[4882812:205343385:1331] |
Generators of the group modulo torsion |
j |
-75168612424928651232256/8274022628831323 |
j-invariant |
L |
6.347409348148 |
L(r)(E,1)/r! |
Ω |
0.04910819353803 |
Real period |
R |
6.4626785178749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44408e1 |
Quadratic twists by: -4 |