Atkin-Lehner |
2- 3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810p |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10720 |
Modular degree for the optimal curve |
Δ |
-21770370 = -1 · 2 · 35 · 5 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1560,23067] |
[a1,a2,a3,a4,a6] |
j |
-419870059539841/21770370 |
j-invariant |
L |
4.0562697104076 |
L(r)(E,1)/r! |
Ω |
2.0281348552038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480cb1 47430g1 79050v1 |
Quadratic twists by: -4 -3 5 |