Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490k |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
38817287533500000 = 25 · 3 · 56 · 78 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1220762,518557236] |
[a1,a2,a3,a4,a6] |
Generators |
[547:3579:1] |
Generators of the group modulo torsion |
j |
1710129639358545049/329941500000 |
j-invariant |
L |
4.9219113451987 |
L(r)(E,1)/r! |
Ω |
0.353425766113 |
Real period |
R |
2.3210491122553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999615807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070c2 |
Quadratic twists by: -7 |