Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
114807ba |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
606528 |
Modular degree for the optimal curve |
Δ |
337663019465541 = 36 · 76 · 11 · 713 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 11- -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22066,-907448] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:319:1] |
Generators of the group modulo torsion |
j |
10100107472896/2870088309 |
j-invariant |
L |
3.958166077571 |
L(r)(E,1)/r! |
Ω |
0.40017068178221 |
Real period |
R |
0.54951081947539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998246663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343e1 |
Quadratic twists by: -7 |