Atkin-Lehner |
2+ 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314h |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26339811853860864 = -1 · 224 · 39 · 312 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52071648,-144614222848] |
[a1,a2,a3,a4,a6] |
Generators |
[68939545219854400:-166847573101373540384:11774546875] |
Generators of the group modulo torsion |
j |
-793298060663021335946259/1338201079808 |
j-invariant |
L |
5.2872704227411 |
L(r)(E,1)/r! |
Ω |
0.028100835193257 |
Real period |
R |
23.519187180644 |
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 |
46314v1 |
Quadratic twists by: -3 |