Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800cf |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
44388967700000000 = 28 · 58 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-251333,47510537] |
[a1,a2,a3,a4,a6] |
Generators |
[-301665:28086238:3375] |
Generators of the group modulo torsion |
j |
17557957181440/443889677 |
j-invariant |
L |
7.9122875706782 |
L(r)(E,1)/r! |
Ω |
0.35912909280881 |
Real period |
R |
11.015937902433 |
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 |
7700l2 123200hf2 30800bo2 |
Quadratic twists by: -4 8 5 |