Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52700d |
Isogeny class |
Conductor |
52700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
10540000000 = 28 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 0 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120908,16222312] |
[a1,a2,a3,a4,a6] |
Generators |
[-343:4150:1] [197:100:1] |
Generators of the group modulo torsion |
j |
48868884387664/2635 |
j-invariant |
L |
7.7886699499384 |
L(r)(E,1)/r! |
Ω |
0.96342481266958 |
Real period |
R |
2.0210892037228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10540b1 |
Quadratic twists by: 5 |