Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310z |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
-6619091010846720 = -1 · 220 · 3 · 5 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38048,2692096] |
[a1,a2,a3,a4,a6] |
Generators |
[33480:1180183:512] |
Generators of the group modulo torsion |
j |
51774168853511/56261345280 |
j-invariant |
L |
4.3692100231484 |
L(r)(E,1)/r! |
Ω |
0.27993144737005 |
Real period |
R |
7.8040714195991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330h1 |
Quadratic twists by: -7 |