Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498i |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-3540579289552368 = -1 · 24 · 32 · 7 · 378 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65741,-7096840] |
[a1,a2,a3,a4,a6] |
Generators |
[2218725:-17215274:6859] |
Generators of the group modulo torsion |
j |
-12246522625/1379952 |
j-invariant |
L |
6.4047579240684 |
L(r)(E,1)/r! |
Ω |
0.14813734293276 |
Real period |
R |
10.808817339975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554l1 |
Quadratic twists by: 37 |