Atkin-Lehner |
5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025p |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1062720 |
Modular degree for the optimal curve |
Δ |
-1089629733770703125 = -1 · 58 · 7 · 119 · 132 |
Discriminant |
Eigenvalues |
-1 3 5- 7+ 11+ 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3021930,2023348822] |
[a1,a2,a3,a4,a6] |
Generators |
[2445360:48122638:3375] |
Generators of the group modulo torsion |
j |
-7812980548366492305/2789452118453 |
j-invariant |
L |
5.7878061268627 |
L(r)(E,1)/r! |
Ω |
0.27054560723447 |
Real period |
R |
10.696544264803 |
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 |
25025f1 |
Quadratic twists by: 5 |