Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cd |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-612241631232000000 = -1 · 217 · 3 · 56 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2940,37647237] |
[a1,a2,a3,a4,a6] |
Generators |
[1437:-55599:1] |
Generators of the group modulo torsion |
j |
23225822386679/5059848192000000 |
j-invariant |
L |
7.8398699137836 |
L(r)(E,1)/r! |
Ω |
0.22916011516027 |
Real period |
R |
0.047915013289302 |
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 |
76230bd1 127050co1 25410k1 |
Quadratic twists by: -3 5 -11 |