Atkin-Lehner |
2- 3+ 23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
113712k |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3188736 |
Modular degree for the optimal curve |
Δ |
-2753482260754464768 = -1 · 218 · 316 · 23 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -2 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-198600,86866416] |
[a1,a2,a3,a4,a6] |
Generators |
[2612:131840:1] |
Generators of the group modulo torsion |
j |
-211496742846707401/672236880067008 |
j-invariant |
L |
2.8753868114905 |
L(r)(E,1)/r! |
Ω |
0.22412336493874 |
Real period |
R |
3.2073706234599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14214d1 |
Quadratic twists by: -4 |