Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15640g |
Isogeny class |
Conductor |
15640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-4003840 = -1 · 211 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[26:136:1] |
Generators of the group modulo torsion |
j |
2735262/1955 |
j-invariant |
L |
4.6958492250548 |
L(r)(E,1)/r! |
Ω |
1.3924383821881 |
Real period |
R |
3.3723928362818 |
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 |
31280b1 125120z1 78200g1 |
Quadratic twists by: -4 8 5 |