Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102300r |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1340952492000000 = 28 · 3 · 56 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369408308,-2732924727612] |
[a1,a2,a3,a4,a6] |
Generators |
[9496571126665966709994:2192710227008478711321825:157745853601466248] |
Generators of the group modulo torsion |
j |
1393746203803968446127568/335238123 |
j-invariant |
L |
7.4311264190679 |
L(r)(E,1)/r! |
Ω |
0.034436808057203 |
Real period |
R |
35.965036821832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4092a2 |
Quadratic twists by: 5 |