Atkin-Lehner |
2- 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25172f |
Isogeny class |
Conductor |
25172 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
11277056 = 28 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2- -2 3 7- 2 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84684,9457108] |
[a1,a2,a3,a4,a6] |
Generators |
[1338:77:8] |
Generators of the group modulo torsion |
j |
262357186953710032/44051 |
j-invariant |
L |
5.2332610262925 |
L(r)(E,1)/r! |
Ω |
1.3102174536499 |
Real period |
R |
1.997096364315 |
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 |
100688o1 |
Quadratic twists by: -4 |