Atkin-Lehner |
3+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341h |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
-5689717565549772699 = -1 · 34 · 79 · 196 · 37 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- -1 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,163154,-111979512] |
[a1,a2,a3,a4,a6] |
Generators |
[376:1543:1] |
Generators of the group modulo torsion |
j |
11902326714368/140996505357 |
j-invariant |
L |
2.4752153172501 |
L(r)(E,1)/r! |
Ω |
0.11807987409562 |
Real period |
R |
2.6202764569415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341z1 |
Quadratic twists by: -7 |