Atkin-Lehner |
5- 7+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24605c |
Isogeny class |
Conductor |
24605 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-21326654405 = -1 · 5 · 75 · 193 · 37 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ -6 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,333,6766] |
[a1,a2,a3,a4,a6] |
Generators |
[6:92:1] |
Generators of the group modulo torsion |
j |
4064592619079/21326654405 |
j-invariant |
L |
3.9344890574228 |
L(r)(E,1)/r! |
Ω |
0.87168952153419 |
Real period |
R |
1.504545276816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123025k1 |
Quadratic twists by: 5 |