Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970k |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-316491943359375000 = -1 · 23 · 33 · 515 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-430494,-111928500] |
[a1,a2,a3,a4,a6] |
j |
-326784782222946131643/11721923828125000 |
j-invariant |
L |
0.9299584868781 |
L(r)(E,1)/r! |
Ω |
0.09299584868781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95760co1 11970bh2 59850dz1 83790f1 |
Quadratic twists by: -4 -3 5 -7 |