Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490q |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2801664 |
Modular degree for the optimal curve |
Δ |
8.9443060502963E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4631367,-3555063361] |
[a1,a2,a3,a4,a6] |
Generators |
[13628823:991318606:2197] |
Generators of the group modulo torsion |
j |
93381957744183968049/7602534700929280 |
j-invariant |
L |
9.5056246884491 |
L(r)(E,1)/r! |
Ω |
0.10344568205508 |
Real period |
R |
3.8287503884467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7070d1 |
Quadratic twists by: -7 |