Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700o |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
359240814031770000 = 24 · 317 · 54 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-411958,-97463663] |
[a1,a2,a3,a4,a6] |
j |
773185301682400000/35924081403177 |
j-invariant |
L |
1.1339279383557 |
L(r)(E,1)/r! |
Ω |
0.18898798917212 |
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 |
62700y1 |
Quadratic twists by: 5 |