Atkin-Lehner |
2+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842a |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
310013393489534 = 2 · 76 · 19 · 375 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 5 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4091257,-3186879873] |
[a1,a2,a3,a4,a6] |
Generators |
[-400659:203160:343] |
Generators of the group modulo torsion |
j |
7573456968156842560985881/310013393489534 |
j-invariant |
L |
4.8523814947649 |
L(r)(E,1)/r! |
Ω |
0.10615375265609 |
Real period |
R |
4.571088042912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78736w1 88578be1 68894h1 |
Quadratic twists by: -4 -3 -7 |