Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bg |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1752192 |
Modular degree for the optimal curve |
Δ |
-64779684926577075 = -1 · 33 · 52 · 76 · 138 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-251190,-49896169] |
[a1,a2,a3,a4,a6] |
Generators |
[646804253108230:12664677856248723:823710965624] |
Generators of the group modulo torsion |
j |
-18264064/675 |
j-invariant |
L |
13.436548852212 |
L(r)(E,1)/r! |
Ω |
0.10639655412312 |
Real period |
R |
21.047907304504 |
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 |
2535g1 124215n1 |
Quadratic twists by: -7 13 |