Atkin-Lehner |
2+ 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710t |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
49351680 |
Modular degree for the optimal curve |
Δ |
-5.3261579094685E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -3 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-50298577,1118799483541] |
[a1,a2,a3,a4,a6] |
Generators |
[16882:-2262641:1] [-9995:794401:1] |
Generators of the group modulo torsion |
j |
-2017434532214148121/76352395485600000 |
j-invariant |
L |
7.9837236005392 |
L(r)(E,1)/r! |
Ω |
0.04331500678967 |
Real period |
R |
0.34132912411161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710bc1 |
Quadratic twists by: 17 |