Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852q |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-18582985232550144 = -1 · 28 · 315 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19551,-6642538] |
[a1,a2,a3,a4,a6] |
Generators |
[3890735398:181907563914:1771561] |
Generators of the group modulo torsion |
j |
-37642192/846369 |
j-invariant |
L |
9.2182431772198 |
L(r)(E,1)/r! |
Ω |
0.16734609610064 |
Real period |
R |
13.771225313333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25284f1 1548e1 |
Quadratic twists by: -3 -7 |