Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738x |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-457223659993038848 = -1 · 217 · 75 · 136 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 13+ 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3813404,2864867325] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:-5255:1] [-1139:76281:1] |
Generators of the group modulo torsion |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
12.495259460829 |
L(r)(E,1)/r! |
Ω |
0.28219282089111 |
Real period |
R |
0.13023280677597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
602b1 |
Quadratic twists by: 13 |