Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51546c |
Isogeny class |
Conductor |
51546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-315591148705536 = -1 · 28 · 34 · 118 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15848,376550] |
[a1,a2,a3,a4,a6] |
Generators |
[25:875:1] |
Generators of the group modulo torsion |
j |
248502281903/178142976 |
j-invariant |
L |
3.8760719830452 |
L(r)(E,1)/r! |
Ω |
0.34530322083003 |
Real period |
R |
2.8062813704632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686c1 |
Quadratic twists by: -11 |