Atkin-Lehner |
2+ 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282c |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
357518753550336 = 212 · 3 · 710 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 4 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116498,15229236] |
[a1,a2,a3,a4,a6] |
j |
619019807161/1265664 |
j-invariant |
L |
1.077589932033 |
L(r)(E,1)/r! |
Ω |
0.53879496601754 |
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 |
90846da1 30282i1 |
Quadratic twists by: -3 -7 |