Atkin-Lehner |
19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
703a |
Isogeny class |
Conductor |
703 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
25033168477 = 192 · 375 |
Discriminant |
Eigenvalues |
0 3 -2 -1 3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-736,1057] |
[a1,a2,a3,a4,a6] |
j |
44091731607552/25033168477 |
j-invariant |
L |
2.053106134592 |
L(r)(E,1)/r! |
Ω |
1.026553067296 |
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 |
11248g1 44992o1 6327c1 17575d1 |
Quadratic twists by: -4 8 -3 5 |