Atkin-Lehner |
2+ 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910k |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
545699809780650 = 2 · 36 · 52 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20948,305502] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1236:1] |
Generators of the group modulo torsion |
j |
8641627880761/4638371850 |
j-invariant |
L |
2.4022264192549 |
L(r)(E,1)/r! |
Ω |
0.45407799153558 |
Real period |
R |
1.3225847003039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130t2 |
Quadratic twists by: -7 |