Atkin-Lehner |
2+ 3+ 7+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254d |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5533435026 = -1 · 2 · 33 · 7 · 172 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 2 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,429,-1169] |
[a1,a2,a3,a4,a6] |
Generators |
[95:896:1] |
Generators of the group modulo torsion |
j |
322970055381/204942038 |
j-invariant |
L |
2.6471430701706 |
L(r)(E,1)/r! |
Ω |
0.77735903707698 |
Real period |
R |
0.28377525136864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79254w1 |
Quadratic twists by: -3 |