Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995c |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
109824 |
Modular degree for the optimal curve |
Δ |
21048508125 = 39 · 54 · 29 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1917,-31543] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:131:8] |
Generators of the group modulo torsion |
j |
39582093312/1069375 |
j-invariant |
L |
16.432181276431 |
L(r)(E,1)/r! |
Ω |
0.72270386212181 |
Real period |
R |
2.8421359939269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76995b1 |
Quadratic twists by: -3 |