Atkin-Lehner |
2+ 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910s |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
365203125000000 = 26 · 32 · 512 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-224487,40835061] |
[a1,a2,a3,a4,a6] |
Generators |
[-538:2769:1] [87:4644:1] |
Generators of the group modulo torsion |
j |
25533140992343506249/7453125000000 |
j-invariant |
L |
7.0172921526681 |
L(r)(E,1)/r! |
Ω |
0.5252531822907 |
Real period |
R |
0.27832974924272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910v2 |
Quadratic twists by: -7 |