Atkin-Lehner |
2+ 3+ 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978b |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
86000447460798 = 2 · 32 · 134 · 193 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16059278499,-783322981022457] |
[a1,a2,a3,a4,a6] |
Generators |
[-6181357217465169685967144546182304262865451045:3090677660428589661427136514702336234427021506:84484877994478327937883876233601454935125] |
Generators of the group modulo torsion |
j |
458038307459437803276572539343003833/86000447460798 |
j-invariant |
L |
4.969555828544 |
L(r)(E,1)/r! |
Ω |
0.013411212602368 |
Real period |
R |
61.758718567271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128934bj4 |
Quadratic twists by: -3 |