Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304g |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-2.5345081205734E+20 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-611471,-787757810] |
[a1,a2,a3,a4,a6] |
Generators |
[7302690808:-64258589661:6229504] |
Generators of the group modulo torsion |
j |
-839504640199248/8415220142959 |
j-invariant |
L |
3.9441844651439 |
L(r)(E,1)/r! |
Ω |
0.074275894144087 |
Real period |
R |
8.8503017715111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12152d1 97216ca1 3472b1 |
Quadratic twists by: -4 8 -7 |