Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9310d |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-534635163885240320 = -1 · 220 · 5 · 710 · 192 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,99592,-32992448] |
[a1,a2,a3,a4,a6] |
Generators |
[3888:241256:1] |
Generators of the group modulo torsion |
j |
386731778279/1892679680 |
j-invariant |
L |
1.9903717344113 |
L(r)(E,1)/r! |
Ω |
0.14730539789018 |
Real period |
R |
3.3779680903058 |
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 |
74480bc1 83790fl1 46550ci1 9310e1 |
Quadratic twists by: -4 -3 5 -7 |