Atkin-Lehner |
2+ 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410t |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
1190090224400 = 24 · 52 · 76 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26143,1623906] |
[a1,a2,a3,a4,a6] |
j |
16794916941529/10115600 |
j-invariant |
L |
1.711725175779 |
L(r)(E,1)/r! |
Ω |
0.85586250958235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090b1 |
Quadratic twists by: -7 |