Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bh |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4611840800000000 = -1 · 211 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-206208,-36258412] |
[a1,a2,a3,a4,a6] |
Generators |
[86630:1552124:125] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
6.2018510915606 |
L(r)(E,1)/r! |
Ω |
0.11198747430166 |
Real period |
R |
6.922482994454 |
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 |
9800bo1 78400km1 19600o1 2800l1 |
Quadratic twists by: -4 8 5 -7 |