Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ep |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18345600 |
Modular degree for the optimal curve |
Δ |
-1.0375726345097E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18253138,33773243531] |
[a1,a2,a3,a4,a6] |
Generators |
[-5120915002725089:583949513793760767:2309913982459] |
Generators of the group modulo torsion |
j |
-11946810138025/1843037388 |
j-invariant |
L |
10.609272428369 |
L(r)(E,1)/r! |
Ω |
0.10237786046548 |
Real period |
R |
25.90714530498 |
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 |
124950dl1 124950hp1 |
Quadratic twists by: 5 -7 |