Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bp |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25712640 |
Modular degree for the optimal curve |
Δ |
349075856445312500 = 22 · 512 · 74 · 533 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-349594813,2515767132031] |
[a1,a2,a3,a4,a6] |
Generators |
[73784809:8985842:6859] |
Generators of the group modulo torsion |
j |
125952405723419469764521/9304812500 |
j-invariant |
L |
17.563473394921 |
L(r)(E,1)/r! |
Ω |
0.16801901316413 |
Real period |
R |
8.7110544766326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970l1 129850cu1 |
Quadratic twists by: 5 -7 |