Atkin-Lehner |
2+ 3- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bi |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4320000 |
Modular degree for the optimal curve |
Δ |
-4.128556843008E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,970549,-905592202] |
[a1,a2,a3,a4,a6] |
Generators |
[12174:505901:8] |
Generators of the group modulo torsion |
j |
258831256153676855/1056910551810048 |
j-invariant |
L |
7.7701775046494 |
L(r)(E,1)/r! |
Ω |
0.085150682658362 |
Real period |
R |
6.0834724318623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050bk1 |
Quadratic twists by: 5 |