Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bm |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25067520 |
Modular degree for the optimal curve |
Δ |
-2.473202571875E+24 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 1 1 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26630128,-92319020752] |
[a1,a2,a3,a4,a6] |
Generators |
[703159668659572358236067382757986:85636365358103346420558302517671273:41977008760650684831932437512] |
Generators of the group modulo torsion |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
12.636852548375 |
L(r)(E,1)/r! |
Ω |
0.031784314078616 |
Real period |
R |
49.697676804975 |
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 |
7595f1 17360bm1 |
Quadratic twists by: -4 -7 |