Atkin-Lehner |
3- 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805q |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
97054744775625 = 312 · 54 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52763,4653906] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:3096:1] [-67:2841:1] |
Generators of the group modulo torsion |
j |
22283166702724201/133134080625 |
j-invariant |
L |
6.44042181319 |
L(r)(E,1)/r! |
Ω |
0.60301203886242 |
Real period |
R |
1.7800699925449 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935l1 |
Quadratic twists by: -3 |