Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29925y |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-143920546875 = -1 · 36 · 57 · 7 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 3 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21825,1241156] |
[a1,a2,a3,a4,a6] |
Generators |
[70:237:1] |
Generators of the group modulo torsion |
j |
-100934332416/12635 |
j-invariant |
L |
2.6976851748687 |
L(r)(E,1)/r! |
Ω |
0.99357401391313 |
Real period |
R |
0.33939157238071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3325f1 5985o1 |
Quadratic twists by: -3 5 |